f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(4)

Answers

Answer 1

Answer:

f(g(4) = -11

Step-by-step explanation:

Whenever we are given a composite function where the output of one of the functions serves as an input for the second one, the first step is to evaluate the numerical output from the first function.

Output from first function: g(x) = [tex]x^{2} + x[/tex]

g(4) will be evaluated by substitution 4 for x in the above equation.

this will give us [tex]g(x)=4^{2}+4 =20[/tex]

Output from the composite function f(g(4)

The next stage is to input our results from the function g(4) into the function

f(x) = 9 - x. The output from g(4) which is 20, will now become our input.

[tex]f(x)-9-(20)= -11[/tex]

Therefore f(g(4) = -11


Related Questions

How would I find the volume of this triangular prism?

Answers

11x10=110cm^3 You simply multiply the base with length, thus answer is 110cm^3

(f - g)(x) = (3x - 1) - (x +2)
Solve.

Answers

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

If you want the difference between functions f and g, combine the terms within parentheses as follows:

(f - g)(x) = (3x - 1) - (x +2)

             = 3x - 1 - x - 2

Combining like terms, we get:

(f - g)(x) = 2x - 3

FILL in the blank with a greater than or less than-5___-7​

Answers

Answer:

-5 > -7

Step-by-step explanation:

Answer: greater than

Step-by-step explanation:

since the two are both negative get the absolute value of each number.

-5=5

-7=7

Which ever one is bigger that is smaller.

-5 would be more than -7

5. Find the missing data item given the following information.
13, 17, 15, 20, 14, X
Mean = 15
A.11
B.13
C.12
D.14

Answers

Answer:

X would represent 11 (choice A.)

what is the absolute value of -6​

Answers

I believe the answer to this is 6 because if I remember correctly all you gotta do is if it’s a negative make it a positive and if it’s a positive make it a negative to get to zero

Answer:

6

Step-by-step explanation:

1
y = -x - 7
2
How do I graph that?

Answers

here is the graph for 1 y = -x - 7 2

Answer:

Slope: [tex]-1[/tex]

y-intercept: [tex](0,72)[/tex]

Step-by-step explanation:

[tex]1y=-x-72[/tex]

Look down below for graph.

Hope this helps!

Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 5. How many different sets of 4 digits could it be?

Answers

Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

800 different sets of 4 digit PIN could be made.

The First (single) digit is a factor of 20. So, it is among 1, 2, 4, 5. The other factors 10 & 20 are ignored, as they are 2 digits.

So, ways of choosing 1 out of 4 digits = 4 P 1 = 4

The Second digit can be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

So, ways of choosing 1 out of 10 digits = 10 P 1 = 10

Third digit can also be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

So, ways of choosing 1 out of 10 digits = 10 P 1 = 10

The Fourth digit can be amongst only 0 & 1, as the final PIN is divisible by 5.

So, ways of choosing 1 out of 2 digits = 2 P 1 = 2

Hence, total number of ways = 4 x 10 x 10 x 2 = 800 ways

To learn more, refer https://brainly.com/question/1216161?referrer=searchResults

True or false: Axioms and postulates are statements that are accepted as true because they have been proven using logic and deductive reasoning. A: this statement is false. Axioms and postulates are statements that are accepted as true without proof. B: this statement is false. Axioms and postulates are statements that have not been shown to be true or false. C: this statement is true. D: this statement is false. Axioms and postulates are statements that are discarded as false because they have been disproved.

Answers

Answer:

C: this statement is true

Step-by-step explanation:

Axioms and postulates are statements that are accepted as true because they have been proven using logic and deductive reasoning.

They present themselves as self-evident. These are universally accepted and general truth.

============

A: this statement is false. Axioms and postulates are statements that are accepted as true without proof.

False. They have been proven numerous of times

B: this statement is false. Axioms and postulates are statements that have not been shown to be true or false.

False. There are many evidences that they are true

C: this statement is true.

True

D: this statement is false. Axioms and postulates are statements that are discarded as false because they have been disproved

False. They have not been disproved

Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the function f (x) = StartFraction 10 Over x EndFraction.

Answers

Answer:

When we have a rectangle of width W and length L, the area of this rectangle can be calculated as:

A = W*L

In this case we have:

W = x

L = 10/x.

Then the area of the rectangle will be:

A = W*L = x*(10/x) = 10

So the value of x cancels in the equation, which means that we can not find the value of x.

Now, as L = 10/x we can find some restrictions:

if x = 0, we would have L = 10/0

So we can not have x = 0.

And as W = x, this represents a positive measure, we also have that x can not be a negative number.

So the relation:

W = x

L = 10/x

Gives us all the possible combinations of width and length such that the area of the rectangle is exactly 10 square units.

Answer:

third graph

Step-by-step explanation:

Two planes intersect in a___.
•point
•ray
•line
•line segment

Answers

Two planes intersect in a line..I think because planes are not lines
The answer is line I believe

-3/4=x/26 solve, please .

Answers

Answer:

x=39/2 or 19.5

Step-by-step explanation:

At the master Golf Tournament,Tiger Wood score is -3 and Phill Mickleson’s score is -5. Who is in the lead and how many shots?

Answers

woods is in the lead

Given f(x) = -5x – 4, solve for x when f(x) = 1.

Answers

sub f(x)=1 into equation
1=-5x-4
5=-5x
x=-1

Answer:

Step-by-step explanation:

-5x - 4 = 1

-5x - 4 = 1

-5x = 5

x = -1

Please help! (Will give brainliest answer and hearts) Thank you and have a nice day!

Answers

Answer:

It's D

Step-by-step explanation:

Please help me Identify the terms, variables, coefficients and constants in each expression

Answers

For the first question the terms is -5a, -7, and 5d a variable is h...the coefficients are -5a, and 5d and the constant is -7

Can someone answer this please

Answers

Answer:

23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Replace all Xs with 3

PLEASE HURRY WILL MARK ANSWER AS BRAINLIEST!!!

If f(x) = 2х +6 and g(x) = -8х, what is g(f(4))?
О -448
O-112
О-58
О -14

Answers

Answer:

112

Step-by-step explanation:

Answer:

your answer should be B)-112

Step-by-step explanation:

Can someone help please!!!!!

Answers

Answer:

x

[tex] {x}^{2} - 3 [/tex]

100 points Write a function g whose graph represents the indicated transformation of the graph of f. f(x) = (1/2)x - 5; reflection in the x-axis a g(x) = (1/2)x - 5 b g(x) = -(1/2)x + 5 c none d g(x) = -(1/2)x - 5 e g(x) = (1/2)x + 5

Answers

Easy you can solve this by dividing all the numbers by 1/77 or pi which ever is easier :)

I keep getting different answers. Can somone explain how I would set it all up?

Answers

Answer:

MY=80

Step-by-step explanation:

MX=MY ( since M is the midpoint)

2x+10=3x-5

10+5=3x-2x

15=x

MX+MY=MX

2x+10+3x-5=MY

2(15)+10+3(15)-5=MY

MY=80

105.6 + (-95.3) ! help me show my work !

Answers

Answer:

10.3

Step-by-step explanation:

105.6-95.3=10.3

When adding with a number and a negative, you can change the problem to a subtraction problem!!! If the negative is more than the positive, the number will become negative too!!! P.S. Please mark me Brainlist.

Thank you!!!

Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write an inequality that would be used to solve for the least amount of money she needs to deposit to avoid a fee. 524.96 − 32.50 + x ≥ 500 524.96 − 32.50 + x ≤ 500 524.96 + 32.50 − x ≥ 500 524.96 + 32.50 − x ≤ 500

Answers

Answer:

524.96 − 32.50 + x ≥ 500

Amount need to deposit = $7.54

Step-by-step explanation:

Given:

Amount in checking account = $524.96

Maintain amount = $500

Amount of check = $32.50

Find:

Amount need to deposit

Computation:

Assume, amount need to deposit = x

So,

For avoiding fee

524.96 − 32.50 + x ≥ 500

x = 7.54

Amount need to deposit = $7.54

Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7

Answers

Answer:

2835x^5.

Step-by-step explanation:

By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.

Term 5 = 7C4 * x^5 * 3^4

= 35 * x^5 * 3^4

= 2835x^5.

On Saturday, the fruit and juice bar was selling 29 glasses of fruit punch an hour. By 7 p.m., they had sold 261 glasses. If their goal was to sell more than 348 glasses of fruit punch, find the number of hours, h, they must stay open to make their goal.

Answers

Answer:

they did not meet their goal

Step-by-step explanation:

Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers. What is the parameter

Answers

The 200 parents. It basically means the amount/number of the population you are testing. In this case it would be the 200 parents.

Answer:

Step-by-specific "yes" or "no" responses to the surveystep explanation:

Find the formula for the nth term of the sequence: 0,7,18,33,52​

Answers

Answer:

t(n) = 2n² + n - 3

Step-by-step explanation:

Given sequence:

0, 7, 18, 33, 52

Find the formula for nth term t(n)

Solution

Sequence is neither arithmetic nor geometric, analyzing:

0, 7, 18, 33, 52

First level difference

7, 11, 15, 19

Second level difference

4, 4, 4

As there are two levels, the formula should be in the form of:

t(n) = an² + bn + c

Trying the formula with the known terms:

t(1) = 0 ⇒ a+b + c= 0t(2) = 4a + 2b + c = 7 ⇒ 3a + b = 7t(3) = 9a + 3b + c = 18 ⇒ 3(3a+b) + c = 18 ⇒ 21 + c = 18 ⇒ c = -3

Going back to previous equations to find remaining coefficients:

t(1) ⇒ a+ b = 3 ⇒ t(2) = 2a + (a+b) = 7 ⇒2a + 3 = 7 ⇒ a= 2 ⇒ b = 1

So the formula becomes:

t(n) = 2n² + n - 3

Can someone help me please

Answers

Answer:

-60

Step-by-step explanation:

Im smart

Is 536 cm greater or less then 53.6 DM

Answers

Answer:

536 cm is equal to 53.6 dm

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

Grant is painting a rectangular board that has a width of 1/3 foot. He has enough paint to cover 3 square feet. If he is able to cover the whole board by using all of his paint, what is the length of the board in feet?

Answers

Answer:

l=9 feet

Step-by-step explanation:

area of rectangle=l*w

3=1/3 l

length=9 feet

The space shuttle was launched at 6:45 a.m. on Tuesday morning. It was in space for 6 days, 2 hours, and 16 minutes. At what time did the space shuttle land?

Answers

Answer:

The space shuttle landed on Monday morning at 9:01 a.m.

I hope this helps.

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