Answer: 1,4,5
Step-by-step explanation:
The correct options are, The simplified expression for g(f(x)) is x.
The functions are not inverses of each other.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
Given, f(x) = 1/(8x³).
f(x) = 1/(2x)³.
y = 1/(2x)³.
(2x)³ = 1/y.
[tex]2x = \frac{1}{y^\frac{1}{3}}[/tex].
[tex]x = \frac{1}{2y^\frac{1}{3}}[/tex].
[tex]f^{-1}(x) = \frac{1}{2x^\frac{1}{3}}[/tex] and g(x) = [tex]2x^\frac{1}{3}[/tex] so, they are not inverses of each other.
Now, f(g(x)) = [tex]\frac{1}{8((2x)^\frac{1}{3})^3}[/tex].
f(g(x)) = 1/16x.
g(f(x)) = [tex]2(1/8x^3)^\frac{1}{3}[/tex].
g(f(x)) = x
learn more about the inverse of functions here :
https://brainly.com/question/2541698
#SPJ2
Which coordinate pair identifies a point in the third quadrant of the coordinate plane?
Answer:
-,-
Step-by-step explanation:
the y axis is negative and the x axis is also negative
hope this helps
1+cosx/1-cosx=tan^2x/(sec^2-1)^2
Answer:
Take a look at the attachment below
Step-by-step explanation:
A ramp is 35 ft long rises to a platform. The bottom is 15 ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree.
Answer:
The angle of elevation of the ramp is 64.60°
Step-by-step explanation:
Given;
length of the ramp, L = 35 ft
distance of the platform to the foot of the ramp, d = 15 ft
The length of the ramp forms the hypotenuse side of this right angled triangle;
The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.
Cos x = adjacent / hypotenuse
Cos x = 15 / 35
Cos x = 0.4286
x = Cos⁻¹ (0.4286)
x = 64.62
x = 64.60°
Therefore, the angle of elevation of the ramp is 64.60°
In what ways are driverless cars safer than human drivers?
Answer:
Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..
Step-by-step explanation:
Edg. 2020
Answer:Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..
Step-by-step explanation:
help please! which point on the number line below bests represents this?
Answer:
Point M
Step-by-step explanation:
3x+⅝>4x-½ select from the drop down menus to correctly justify each step.
Step-by-step explanation:
3x-4x>-1/2-5/8
-x>-9/8
x<9/8
For each pair of polygons, describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.
Answer:
1. It is a reflection across the y axis, a rotation and a translation to the right and down.
2. A reflection across the x-axis, translation left 2 and down 1, with a 45 degree clockwise rotation.
3. An 180 degree reflection on line bc and a translation
Step-by-step explanation:
Case 1 involves translation and rotation.
Case 2 involves translation, rotation and reflection.
Case 3 involves translation and reflection.
In this question, we are going to describe succinctly all Steps needed to turn each Polygon P into respective Polygon Q:
Case 1:
(i) Translation along a Vector between Points A and H.
(ii) Rotation around Point H.
Case 2:
(i) Translation along a Vector between Points B and J.
(ii) Rotation around Point J.
(iii) Reflection with respect to a "vertical" Lines passing through Point J.
Case 3:
(i) Translation along a Vector between Points B and F.
(ii) Reflection with respect to a Line passing through Segment FD.
Please see this question related to Operations with Polygons: https://brainly.com/question/12091224
Solve for p in the Ilteral equation 3p + 4r = q.
solve for p
Answer:
p = [tex]\frac{q}{3} - \frac{4r}{3}[/tex]
Step-by-step explanation:
Convert 15°C to °F (to the nearest tenth).
15°c = 59°f
because :
(15 °C × 9/5) + 32 = 59 °F
===
so to the nearest tenth its doing 60°f
[Giving Brainleist] What is 4x+2?
Answer:
4x + 2 = 0
4x = -2
x = -1/2
if you need it simplified it already is
Simplify the expression
3-5(2x-5)
Answer:
-10x + 28
Step-by-step explanation:
Step 1: Write expression
3 - 5(2x - 5)
Step 2: Distribute -5
3 - 10x + 25
Step 3: Combine like terms
-10x + 28
Answer:
= -10x+28
Step-by-step explanation:
subtract -9x-7 from 8x2 -5x +9
Answer:
8x2+4x+16
Step-by-step explanation:
first you would place as so
8x2-5x+9 - (-9x-7)
you would then change question to addition but do this you would have to switch the signs for the one in the parenthisis. it would look like 8x2-5x+9 + 9x+7
You then add like terms and put them into standard form.
hope this helps!!
Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a sticker price of $18,560. If his discount is 18 percent, what is the price that Dao will pay?
$3,340.80
$3,712.00
$12,992.00
$15,219.20
Answer:
D. $15,219.20
Step-by-step explanation:
given:
The automobile that he is interested in has a sticker price of $18,560.
If his discount is 18 percent,
find:
what is the price that Dao will pay?
solution:
sale price = $18,560 - (0.18 x $18,560) = $15,219.20
therefore,
Dao will pay $15,219.20
the answer is D.
im taking the test right now..
Which has the lowest unit price ?
Answer:dd
Step-by-step explanation:d
Answer:
The answer is $0.33 for 11 oz
Step-by-step explanation:
All you have to do is divide the oz by the price and A is the lowest.
I NEED HELP PLEASE PLEASE HELP ME :(
Answer:
-1/125
Step-by-step explanation:
1/(-5)^3
evaluate
1/-125
Solve for j. please help meee
Answer:
112 degrees
Step-by-step explanation:
Angle J and the other angle combines to form a straight angle. In other words, they must total 180 degrees. Thus:
[tex]68+j=180[/tex]
Subtract 68 from both sides:
[tex]j=112\textdegree[/tex]
And we're done!
Answer:
I believe the answer is 112 degrees
Step-by-step explanation:
If you know, a straight line hs 180 degrees. Well, then having this knowledge, make a simple equation x+68=180.
Then Solve the equation
x+68=180
-68 -68
x=112
Hope it helps!
Please help me solve this question with full solutions!!!
Answer:
first
|a+3|/2=1
|a+3|=1*2
|a+3|=2
a=2-3
so,a=-1
second
2|b+1|=6
|b+1|=6/2
|b+1|=3
b=3-1
so,b=2
now,|a+b|
= -1+2
= 1
therefore,|a+b|= 1
Order of Operations
If the Order of Operations did not exist, how many
possible solutions can you find for this expression?
4 + 9 + 16 : 4 - 8 – 3 x 5
Given:
[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]
To find:
The number of possible solutions, if the Order of Operations did not exist.
Solution:
We have,
[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]
Now,
Case 1:
[tex][4 + 9 + 16] \div [4 - 8 -(3 \times 5)]=29\div (4 - 8 -15)[/tex]
[tex]4 + 9 + 16 \div 4 - 8 -(3 \times 5)=-\dfrac{29}{19}[/tex]
Case 2:
[tex][4 + 9 + 16] \div (4 - 8 -3) \times 5=29\div (-7\times 5)[/tex]
[tex]4 + 9 + 16 \div (4 - 8 -3) \times 5=-\dfrac{29}{35}[/tex]
Case 3:
[tex]4 + 9 + (16 \div 4) - 8 -(3 \times 5)=4+9+4-8-15[/tex]
[tex]4 + 9 + (16 \div 4) - 8 -(3 \times 5)=-6[/tex]
Many more possibilities are there.
Therefore, there are more than 3 possible solutions.
A sporting goods sold 2.5 times as many football as basketball last year drag footballs to represent the number of football sold for every 2 basketball sold.
Answer:
5 footballs were sold for every 2 basketballs sold.
Step-by-step explanation:
2.5 times as many football as basketball was sold last year
This can be represented as
1 basket ball sold = 2.5 footballs sold
for every 2 basketball sold, number of football sold = 2.5 x 2 = 5 footballs
I NEED HELP EXPLAINING HOW I GOT MY ANSWERS ILL GIVE AS MANY POINTS POSSIBLE
Answer:
Step-by-step explanation:
solve for h in h+6/5=2
Answer:
h=4/5
Step-by-step explanation:
[tex]h + \frac{6}{5} = 2 [/tex]
Collect like terms and simplify
[tex]h = 2 - \frac{6}{5} \\ h = \frac{4}{5} [/tex]
What is the value of m in the equation {m- n = 16, when n = 8?
Answer:
m=44
Step-by-step explanation:
Answer:
m=44
Step-by-step explanation:
>
Please help!!! Do In 20 minutes
Answer:
The side length of the square would be (b - a) , so I believe the answer would be the one you have highlighted.
Please help! (-5)(16)(-3)(-2)
Answer:
-480
Step-by-step explanation:
(-5)(16)(-3)(-2) =
= (-80)(-3)(-2)
= (240)(-2)
= -480
The temperature was -1 °F, 5 °F, 8 °F, and 6 °F. What was the average temperature?
Answer:
4.5
Explanation:
add up all the numbers and divide by the amount
(GIVING BRISTLIEST) What is 50x+100x-50y?
Answer:
[tex]50(3x-y)[/tex]
Step-by-step explanation:
You just gave an expression, therefore:
[tex]50x+100x-50y[/tex]
[tex]150x-50y[/tex]
[tex]50(3x-y)[/tex]
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; \, \;\; \;\; 150x+-50y $ } }\\[/tex]
Step-by-step explanation:
Let's simplify.
[tex]50x+100x-50y[/tex]
To solve this, we will have to combine the like terms.
[tex]50x+100x+-50y[/tex]
Let's add parenthesis.
[tex](50x+100x)+(-50y)[/tex]
This equals:
[tex]150x+-50y[/tex]
Hope this helps!
Point T is on line segment \overline{SU} SU . Given TU=4x+1,TU=4x+1, SU=8,SU=8, and ST=3x,ST=3x, determine the numerical length of \overline{TU}. TU .
Answer:
5Step-by-step explanation:
If point T is on the line SU, then ST+TU = SU. Given TU=4x+1, SU=8, and ST=3x
Substituting the given values into the expression ST+TU = SU
8 = 3x+4x+1
8 = 7x+1
collect like terms;
7x = 8-1
7x = 7
Divide through by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the expression TU = 4x+1 to get the length of TU
TU = 4(1)+1
TU = 4+1
TU = 5
Hence the length of TU is 5
Answer:
Step-by-step explanation: the answer is 5
James earns $8.75 per hour working at the Kroger after school. He needs at least $250 for an iPhone. Write and solve an inequality that describes how many hours James must work to buy the iPhone.
Answer:
29 hours
Step-by-step explanation:
$250: $8.75= 28.5. and you round that up to 29. cause 28 times 8.75 is $245. and that's below the amount that James needs
Pls help im timedTrey converted 12,500,000 into scientific notation as 12.5 * 10 to the power of 6 his he correct
Answer:
12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.
Step-by-step explanation:
The temperature at noon at a ski resort is 3 degrees F. The temperature drops 8 degrees F by midnight. What is the temperature at midnight?
Answer:
-5 degrees F
Step-by-step explanation: