Answers
Answer:
[tex]f^{-1}(x)=\frac{1}{8}(x-4)^{3}[/tex]
Step-by-step explanation:
Given function is,
f(x) = [tex]\sqrt[3]{8x}+4[/tex]
To find the inverse of this function,
Rewrite the function as a equation,
y = [tex]\sqrt[3]{8x}+4[/tex]
Interchange x by y and y by x,
x = [tex]\sqrt[3]{8y}+4[/tex]
Now solve this equation for y,
x - 4 = [tex]\sqrt[3]{8y}[/tex]
(x - 4)³ = [tex](\sqrt[3]{8y})^3[/tex]
(x - 4)³ = 8y
y = [tex]\frac{1}{8}(x-4)^{3}[/tex]
Now convert the equation into function,
[tex]f^{-1}(x)=\frac{1}{8}(x-4)^{3}[/tex]
Related Questions
help me plzzz all i need is this plz
Answers
Step-by-step explanation:
70*+ 30* (* means degree)
the 30 degree is only a imagination....
70+30=90*. so x is equal to 30*
Can someone pls help me with this?
Answers
Answer:
the answer is d
Step-by-step explanation:
so for one do y-intercept has to be at (0,25) so we can eliminate answer choices B and C
the reason why it is not a is because a is moving out of constant rate of 25 when it needs to be moving at a constant rate like 10 D is the answer because it's moving at a constant rate of 10 and it has a y intercept of (0,25)
It starts out at 25 and each week the graph goes up only 10 dollars, so it’s the only one that makes sense. Good luck!!!
Is quadrilateral ABCD a parallelogram? Explain.
Answers
Answer:
don't know
Step-by-step explanation:
Pls I need help
Hahaha I did not reach the word limit
Answers
Answer:
5-(-7)=5+7
Step-by-step explanation:
keep in mind that two negatives make a positive. therefore it would be 5+7=5+7. i hope this helps :)
17. A rectangular prism has a length of 12 cm, a
height of 6/cm, and a width of 4 cm. Use the
formula SA = 2({w) + 2(wh) +2(ehy to find the
surface area of the rectangular prism.
Answers
Answer:
SA = 288 cm
Step-by-step explanation:
l = 12
w = 4
h = 6
SA = 2lw + 2wh + 2lh
SA = (2 x 12 x 4) + (2 x 4 x 6) + (2 x 12 x 6)
SA = 96 + 48 + 144
SA = 288
Help me plsssssssssssssssss
Answers
Answer:
I would say 1.5in
Step-by-step explanation:
3(x+1)-5=3x-2
Option1: no solution
Option2:infinite solutions
Option3:one solution
Answers
Answer:
Simplify 3(x+1)−5.
3x−2=3x−2
Move all terms containing x to the left side of the equation.
−2=−2 Since −2=−2 , the equation will always be true for any value of x
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(−∞,∞)
Option2 : infinite solutions
Step-by-step explanation:
Help I give crownnnn !!!
Answers
Answer:
it is 11
Step-by-step explanation:
i did the math
Answer:
11
Step-by-step explanation:
1x2=2
3x3=9
9+2= 11
Please help 50 points
What is the fractional form of
Answers
Answer:
it's option A .............
Answer:
8/9
Step-by-step explanation:
Repeating. Just do 8 divide by 9
16 - 6 into 2 + 3 by 23 - 3 into 2
Answers
Answer:
80.5
Step-by-step explanation:
Find the area of the shape shown below.
Answers
Answer:
42
Step-by-step explanation:
to find out the triangle do this formula:
bxh/2
3.5x3=10.5
3.5x3=10.5
21
To find out rectangle do:
lxw
7x3=21
21+21=42
i need to know what type of angle that is the answer choices are plzzz help me plzz
1.supplementary angles
2.complementry angles
3.verticles angles
4.obtuse angles
Answers
i need the answer to thisssssss im confused please help thank youuuuuu
Answers
Answer:
light blue
Step-by-step explanation:
where is the code for genes stored
Answers
Hope it helped
Does anyone know this answer?
Answers
Answer:
The answer is Vertical
Step-by-step explanation:
Hope this helps <3
solve for 65+5x and show work !!!
Answers
Answer:
x = -13
Step-by-step explanation:
65 + 5x = 0
65 = -5x
divide by -5
-13 = x
Answer:
x = 13
Step-by-step explanation:
You have to get x by itself
so you divide 5 by 65
Then X is by itself and your answer is 5/65
10, 20, 30, 40, 50, 60
FIND THE MAD(Mean Absolute Deviation) from the data set above.
O A. 15
O B. 90
C. 35
O D. 14.5
Answers
Answer:
35
Step-by-step explanation:
mean=the total sum of the numbers divided by the number of number
10±20±30±40±50±60=210
210÷6=35
a dog has 6 balls. the cat has 3 balls how many more balls does the cat need
Answers
Answer:
Do you mean how many more balls does the cat needs to match to the amount of balls the dog has??
If that's the case 3 more balls are needed
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3
Pls help me it’s due hellop
Answers
Answer:
m<CAB = 59
m<ACB = 59
Step-by-step explanation:
4x - 41 = 2x + 9
2x - 41 = 9
2x = 50
x = 25
m<CAB: 4x - 41
4(25) - 41
59
m<ACB: 2x + 9
2(25) + 9
59
PLS HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
(-64)[tex]^{-\frac{1}{3}[/tex]
Step-by-step explanation:
Answer:
(-64)^-5/3 X (-64)^4/3 = -0.25 or -1/4.
Step-by-step explanation:
l hope that this helps! :))>
Helppp Meee Plsss
....
Answers
Answer:
I believe it is because it is being transferred to kinetic energy
Step-by-step explanation:
As the puck falls, it loses potential energy and gains kinetic energy because it is now falling, which causes movement due to gravity. And as we know, kinetic energy is energy which a body possesses by virtue of being in motion
Just 4 people who need helppp
Answers
Answer:
1/2 ÷ 4 = 8
Step-by-step explanation:
Dividing fractions is as easy as pie. Flip the second and multiply.
1/2 ÷ 4 = 1/8
A whole number secretly has a 1 underneath, like this: 4/1
Flip the second number over to get 1/4, then multiply straight across.
[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex]
Try to do the same for the other answers and see if they're right (they're not).
1/8 x 1/6 = 1/48
1/3 x 1/4 = 1/12
1/9 x 1/2 = 1/18
Blake purchased a new car in 1990 for \$15,200$15,200. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was \$10,000$10,000 in the year 1992, then what would be the predicted value of the car in the year 2001, to the nearest dollar? HELP!
Answers
Answer:
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
Step-by-step explanation:
VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV
There are 9 computers and 72 students. What is the unit rate of students to computers? A) 1 computer 8 students B) 8 students 1 computer C) 3 computers 24 students D) 24 students 3 computers
Answers
Answer:
72/9 = 8
Answer is b
8 students to 1 computer
HELP ME WITH THIS ONE PLASE TYYY
Answers
Answer b
Step-by-step explanation:
Because Adjacent angles are two angles that have a common vertex and a common side but do not overlap
If x+1/x= 3, then prove that m^5+1/m^5= 123
Answers
9514 1404 393
Explanation:
We can start with the relations ...
[tex]\displaystyle\left(x+\frac{1}{x}\right)^3=\left(x^3+\frac{1}{x^3}\right)+3\left(x+\frac{1}{x}\right)\\\\\left(x+\frac{1}{x}\right)^5=\left(x^5+\frac{1}{x^5}\right)+5\left(x^3+\frac{1}{x^3}\right)+10\left(x+\frac{1}{x}\right)\\\\\textsf{From these, we can derive ...}\\\\x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(\left(x+\frac{1}{x}\right)^3-3\left(x+\frac{1}{x}\right)\right)-10\left(x+\frac{1}{x}\right)[/tex]
[tex]\displaystyle x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(x+\frac{1}{x}\right)^3+5\left(x+\frac{1}{x}\right)\right)\\\\x^5+\frac{1}{x^5}=3^5 -5(3^3)+5(3)\\\\=((3^2-5)3^2+5)\cdot3=(4\cdot9+5)\cdot3=(41)(3)\\\\=\boxed{123}[/tex]
A triangular prism is shown below.
5 cm
14 cm
3 cm
8 cm
A formula for the volume of a triangular prism is V= Bh. Which expression can be used to find V
the volume of the prism in cubic centimeters?
Answers
Answer:
(5)(8)(14)
Step-by-step explanation:
Simplify the sum.
(2u3 + 6u2 + 3) + (2u3 – 7u + 6)
A.
9-74 + 642 + 403
03 + 62 - 7 + 9
Ou3 - 742 + 60-9
403 + 642 - 74 + 9
Answers
Answer:
4u^3 + 6u^2 - 7u + 9
Step-by-step explanation:
(2u3 + 6u2 + 3) + (2u3 – 7u + 6)
Remove the brackets.
2u^3 + 6u^2 + 3 + 2u^3 - 7u + 6
2u^3 + 2u^3 = 4u^3
6u^2
- 7u
3 + 6 = 9
Now just read down
4u^3 + 6u^2 - 7u + 9
The answers don't seem to connect with the question. Is U equal to something?
Find the diameter of a circle
with an area of 90.25m2
Answers
Answer:
10.7196
Step-by-step explanation:
f(2)if f(x)=2x-5 plz answer
Answers
Answer:
-1
you use the given functions to set up and simplify f(2)