f(x)=x^2+2x-6 and g(x)=x+5

Type the composition (gof)(x) of the given functions

Answers

Answer 1

F ( x + 5 )= x ^2 + 12 x + 29

Answer 2

The composition (gof)(x) of the given functions is (g°f)(x) = x² + 12 x + 29

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

For two given functions f(x) and g(x), the composite function

(g ° f)(x) is g(f(x))

we know that:

g(x) = x+5

f(x) = x² + 2x - 6

Then:

(g°f)(x) = g(f(x))

So, we just need to evaluate g(x) in f(x):

g(f(x)) = f(x) + 5 = (x² + 2x - 6) + 5

(g°f)(x) = x² + 12 x + 29

Then the correct answer is (g°f)(x) = x² + 12 x + 29

Learn more about function here:

https://brainly.com/question/2253924

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Related Questions

Someone please help me with equation :)

Answers

Answer:

Use the formula pi r^2. You are finding the radius. Plug the numbers in.

Answer:

Should be the second one.

Step-by-step explanation:

First you have to think that the entire circle is blue. So the area of the blue circle is: 3.14*11^2 = 379.94.

Then you have to look at the smaller circle. There the radius is: 3. So the area would be: 3.14*3^2 = 28.26

They are asking you to find the shaded area. So you subtract the bigger circles area with the smaller circle.

379.94 - 28.26 = 351.68 to the exact.

I need help with this graph! I need to solve this equation to understand where to graph the points, I really need help on this ty :)

(you don't need to actually graph it just tell me where to put the points please!)

Answers

Answer:

y-int = (0, -1.26)
x-int = (2, 0)

Explanation:

Key: 3/ = cube root
| = end of cube root

To find the y-int, you make x equal to zero...

3/ x - 2
3/ 0 - 2
3/ -2

and to find the x-int, you make the entire function equal to zero...

3/ x - 2 | = 0
x - 2 = 0 (cube sides to get rid of cube root)
x = 2

To find any other points, just plug in an x to the original function, and the answer you get will be the y.

Hopefully this helped!

A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?​

Answers

Answer:

72 different ratings

Step-by-step explanation:

To find how many different ratings there are, multiply all the factors together.

2 * 4 * 3 * 3 = x

8 * 9 = x

x = 72

72 different ratings

An electronics store purchases
laptops for $425.00. They use a
markup rate of 60%. How much do they
sell the laptop to their customers?
A) $680.00
C) $255.00
B) $450.50
D) $595.00

Please help and no links. :)

Answers

Answer:

255.00

Step-by-step explanation:

425.00 x .60 = 255

Brainliest question if you help

Answers

Answer:

C.

Step-by-step explanation:

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?

Answers

Answer:

Winston would need to sell 14 more hot dogs to earn a total $175

Step-by-step explanation:

Question 1 of 5 What is the fractional equivalent of the repeating decimal 08 ?​

Answers

Did u mean refractional equation of 0.8? If so, then the answer would be 0.888888 It is a repeating 8 after the 0.

Find the 8th term of the arithmetic sequence
-5x + 3, x + 9,7x + 15, ...

Answers

The answer is 17x+15

Una botella pesa 1090kg cuando esta llena y 250g cuando esta vacía. ¿Cuanta masa de aceite contiene la botella?

Answers

Respuesta:

1089,75 kg

Explicación paso a paso:

Dado que :

Masa de embotellado lleno = 1090 kg

Masa de la botella vacía = 250 g

Masa de aceite que contiene la botella:

Expresando la masa de la botella cuando se llena en gramos:

1000 g = 1 kg

1090 kg = (1090 * 1000) = 1090000 g

La masa de aceite que contiene la botella es así:

Masa de la botella cuando está llena - masa de la botella cuando está vacía

1090000 g - 250 g = 1089750 g

Por tanto, la masa de aceite es 1089750 g

O 1089750/1000 = 1089,75 kg

[tex]4(3-5x)=15-(8x-25)[/tex]

Answers

Solving by x the answers are

Exact form: x= -7/3 _
Decimal form: x= -2.3
Mixed number form: -2 1/3

Translate the sentence into an equation.
Two more than the quotient of a number and 9 is equal to 8.

Answers

Answer:

it would be (9/n )+ 2 = 8

Step-by-step explanation:

I hope this is right :)))

What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?
A -45
B -30
С 24
D 27

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{(-2)^3=\bf -8}[/tex]

[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{-8(9)= \bf -72}[/tex]

[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]

[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]

[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]

[tex]\mathsf{-2^2=\bf 4}[/tex]

[tex]\mathsf{= -12+4(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= -12+4(9)}[/tex]

[tex]\mathsf{4(9)= \bf 36}[/tex]

[tex]\mathsf{-12 + 36 = \bf 24}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A transcriptionist types 62 words per minute. Which statement is correct? As the number of words increases, the number of minutes decreases. As the number of words decreases, the number of minutes increases. The number of words, w, is the dependent variable.

Answers

Answer:

The number of words, w, is the dependent variable.

Step-by-step explanation:

A metric unit that is equal to one thousandth of a liter is...

Answers

Answer:

mililiter

Step-by-step explanation:

Some please help I’ll give BrainLiest

Answers

Answer:

The author thought the event was exciting and interesting

He thought it was interesting

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!

Answers

Answer:

FHG is 45 degrees

Step-by-step explanation:

For a square, each of the angles at the corners measure 90 degrees

Also, the two diagonals are equal and they bisect one another

Also, the diagonals bisect each of the angles at the corners making each angle lying in each triangle to be 45 degrees, thereby creating 4 isosceles right triangles

For FHG, looking at the triangle FHG, FG and GH are equal lengths as we have an isosceles right triangle

An isosceles right triangle is only possible when the two internal angles asides the right triangle are 45 degrees each

What this mean is that FHG measure is 45 degrees

Which of the following expressions is
equivalent to the expression below?
3(2x + 4)
А 3х + 4
C 6x + 4
B 6x + 12

Answers

Answer:

6x + 12

Step-by-step explanation:

this is because 3 times 2x = 6x and 3 times 4 = 12.

Answer:

6x+12

Step-by-step explanation:

pls I need help with this math question.

Answers

Answer: -4096

Step-by-step explanation:

PLS HELP MY LIL BRO!! NO LINKS!!! WILL GIVE 90 POINTS!!

Answers

Answer:

i think its 44cm^3

Step-by-step explanation:

Solve the system by using the elimination method.

Answers

Answer:

(8, 4 )

Step-by-step explanation:

Given the 2 equations

5x - 5y = 20 → (1)

- 3x + 5y = - 4 → (2)

Add the 2 equations term by term to eliminate the y- term

2x + 0 = 16

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into either of the 2 equations and solve for y

Substituting into (2)

- 3(8) + 5y = - 4

- 24 + 5y = - 4 ( add 24 to both sides )

5y = 20 ( divide both sides by 5 )

y = 4

solution is (8, 4 )

Solve for x . Hurry pleaseeeeeeeeeeee

Answers

Answer:

X = 4

Step-by-step explanation:

Answer:

x = 4

mark me as branliest

Please help me with this!!!!!!!!!!!!!

Answers

Answer: right 2 units

what does y=x match?

Answers

Answer:

m = 1

Step-by-step explanation:

slope intercept form --> y=mx+b

y=1x+0

therefore the slope is

m = 1

There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21​ adults, 35​ adults, and 56 adults.

Answers

Answer:

21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children

Step-by-step explanation:

In other words, every 7 Adults creates a set of 3 Children

In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.

For 35 adults, 35/7 gives us 5 sets

Therefore 5x3= 15 Children

Finally, 56 adults. 56/7= 8 sets

Therefore 8x3= 24 Children

Hope this helps and goodluck. Feel free to post more questions.

Brainlyist for the right answer

Answers

Answer:

it is C.

Step-by-step explanation:

just trust me.

Answer:

she is right it's C

Step-by-step explanation:

Have a good Day! :)

Rosa can send texts on
her phone at the rate
of 32 words per minute.
How long would it take
her to text 150 words?

Answers

Answer:

4.7 minutes

Step-by-step explanation:

150/32 is 4.68 which rounds to 4.7

urgent, help pls. :)​

Answers

Answer:

rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

Solve by factoring

2n^2+12n+18

Answers

Answer:

Step-by-step explanation:

d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)

Indefinite integral:

integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant

Global minimum:

min{2 n^2 + 12 n + 18} = 0 at n = -3

Another easy points let’s goooo

Answers

Answer:

916110

Step-by-step explanation:

39*27*29*30

There were 25 children and 15 adults at the beach. Emery said that there were 5 children for every 3 adults. Is he correct. Explain

Answers

Answer:

The statement is correct as we will simplify the ratio of adults to children and will come down this.

25 children / 15 adults

both are multiple of 15 and will be divided to come down to 5 / 3

therefore it can be said that there were 5 children for every 3 adults.

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