For the function f(x)
8 Vas - 8. find / -'(X).
9
+8
of-'() = (9)
O/(x) = 9(+8)
O!'(x) = (18)
Of(x) = 9(2+8)
8
Submit Answer
Answers
Given:
The function is
[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]
To find:
The inverse function [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]
Step 1: Putting f(x)=y, we get
[tex]y=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]
Step 2: Interchange x and y.
[tex]x=\dfrac{8\sqrt[3]{y}-8}{9}[/tex]
Step 3: Isolate variable y.
[tex]9x=8\sqrt[3]{y}-8[/tex]
[tex]9x+8=8\sqrt[3]{y}[/tex]
[tex]\dfrac{9x+8}{8}=\sqrt[3]{y}[/tex]
Taking cube on both sides, we get
[tex]\left(\dfrac{9x+8}{8}\right)^3=y[/tex]
[tex]y=\left(\dfrac{9x+8}{8}\right)^3[/tex]
Step 4: Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3[/tex]
Therefore, the correct option is C.
Related Questions
Write the expanded form of the expression 5(2x - 4 )
Answers
[tex]5(2x-4)=10x-20[/tex]
Hope this helps.
Step-by-step explanation:
Write 5
(2
x−
4)
as an equation.y
=
5
(2x−4)
What is the sum of 8 5/6+ 5 11/24?
Enter your answer in the box as a mixed number in simplest form.
Answers
Answer:
14 7/24
Step-by-step explanation:
There are two different denominators here: 6 and 24. The LCD is 24, and so 8 5/6 becomes 8 20/24.
Then the SUM of the two given mixed numbers is:
8 20/24 + 5 11/24 = 13 31/24, or, when properly reduced, 14 7/24
Randal bought a game pack for $98.00. He found the same game pack at a different store for n dollars less. Which open sentence will be most helpful for finding the price of the game pack at the other store? A n - $98.00 = ? Bn x $98.00 = ? C $98.00 = n = ? D $98.00 - n = ?
Answers
Answer:
98.00 - n =
Step-by-step explanation:
The game he found is less than 98.00, which makes it subtraction.
Also, I see you with that Gaara profile picture... (0/-\0)
Answer:
I will try to find the answer right new
Step-by-step explanation:
can anyone help??? will give best answer brainliest!!
Answers
Answer:
5xy = 2
Step-by-step explanation:
This is the only one that has two (x & y) letters/integers on one single number.
3(x+2)^2+7 in standard form
Answers
Answer:-2x^2+3x-7=0
Step-by-step explanation:
A number between 1 and 20 and has exactly 4 factors
Answers
Answer:
6, 8, 10, 14, 15
Step-by-step explanation:
6(1,2,3,6)
8(1,2,4,8)
10(1,2,5,10)
14(1,2,7,14)
15(1,3,5,15)
Please help me with the question I asked I’m doing a text please.
Answers
Answer:
Wait, what question?? I can try to do it.
Hugo cut 15 short strips of paper then he cut 14 long strips how many strips of paper did he go cut in all
A.1 strip of paper
B.28 strip of paper
C.2 strip of paper
D.29 strips of paper
Answers
Answer:
D.) 29
Step-by-step explanation:
Add 15 and 14
factories the following: x^2 - 3x + 2
Answers
Answer:
(x-2)(x-1)
Step-by-step explanation:
Answer:
(x-2)(x-1)
Step-by-step explanation:
[tex]x^{2} -3x+2\\\\(x-2)(x-1)[/tex]
Please help me solve this.
∛(2x/3y)
Answers
what is the surface area of the milk carton to the nearest square inch? check your ansewr for reasonableness
Answers
Answer:
x
Step-by-step explanation:
there is no picture or anything else, thus it is unknown and can not be figured out unless you repost this with a picture or the full question.
If the school record for the softball throw is 78 feet about how much farther must Robert throw the ball to match the record
Answers
Answer:
The answer is "16 feet"
Step-by-step explanation:
Please find the complete question in the attached file.
Please help!! I will give you brainliest !!!
In an isosceles right triangle, what must be the measures of the acute angles?
Explain your steps to solve this question.
(15 Points)
Answers
Answer:
In an isosceles right triangle, the equal sides make the right angle. ... Therefore each of those acute angles is 45°.
Step-by-step explanation:
Answer:
2 of the angles must be the same measure and one of the angle must be different from them.
Step-by-step explanation:
if 2 angles are 50 then one of them must be 80
Does anyone know the answer
Answers
2x+204 = 180
x= -12
Angle A= x+57= -12+57=45
Can you guys please help me I already got two wrong I can’t get anymore please!?
Answers
Answer:
B. x-5
Step-by-step explanation:
Sister's height: x
Gavin's height: 5 in. less than his sister's height.
Lula is planting her spring garden. It takes nineteen giant bags of soil to fill five flower beds. How much soil is in each flower bed?
Answers
Answer:
19/5 = 3 4/5 soils for each flower bed.
Step-by-step explanation:
Answer is 3 4/5 soils in each flower bed.
What is the slope of the line that passes through the points (1, 2) and (3, 12)?
Answers
Answer:
Slope is 5
Step-by-step explanation:
(1, 2) and (3, 12)
m= (y2-y1)/(x2-x1)
m= (12-2)/(3-1)
m= 10/2
m= 5
(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a - 2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve
Answers
Answer:
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Step-by-step explanation:
Solving (i):
[tex]3 (a + 5b) + a (a + 4)[/tex]
Open brackets
[tex]3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a[/tex]
Collect like terms
[tex]3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b[/tex]
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
Solving (ii)
[tex]y (10 - y) + 3 (y - 2)[/tex]
Open bracket
[tex]y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6[/tex]
Collect like terms
[tex]y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
Solving (iii)
[tex]2 (8a - 5b) + 3 (5a - 12)[/tex]
Open bracket
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36[/tex]
Collect like terms
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
Solving (iv)
[tex]3 (y - 3) + ( 8 - 6y + x)[/tex]
Open bracket
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x[/tex]
Collect like terms
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
Solving (v):
[tex]a (a - 2b) + b (b + 2a - c)[/tex]
Open bracket
[tex]a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc[/tex]
Collect like terms
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
Solving (vi)
[tex]5 (x - y + z) + (4x + 3y)[/tex]
Open brackets
[tex]5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y[/tex]
Collect like terms
[tex]5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)
Answers
Answer:
Step-by-step explanation:
Subtracting from the x value shifts the graph to the right that many units. In this case the graph is shifted to the right by 2 units.
Answer:
It moves to the right 2
Step-by-step explanation:
:)
Get as many people to answer this question will give brainiest for free!!!!
Answers
Answer:
huh?
Step-by-step explanation:
Write the number below as a fraction in its simplest form
0.569
Answers
Answer:
[tex] \binom{569}{1000} [/tex]
Step-by-step explanation:
Step 1:
[tex] \binom{0.569}{1} [/tex]
Step 2:
Then multiply both by 1000
[tex] \binom{569}{1000} [/tex]
It cant be simplifyed further so its in simplest form
36.Simplify: 5 – {3 – (x - 8) }
Answers
Answer:
x-10
Step-by-step explanation:
you have to do what is in the parenthesis first. Do distributive property to
-(x-8)
-(x)-(-8)= -x+8
now you have 5-(3-x+8)
Do distributive property again
5-3+x-8
x-8+2
x-10
hope this helps ~D~
Answer:
your answer will be X−6
Step-by-step explanation:
hope it helps
have a nice day/night ^_^
PLEASE NEED HELP WILL CHOOSE BRAINLIEST
Answer Choices:
2
3
-9
7
4
Answers
Answer:
9
WILL CHOOSEBRAINLIEST
Answer:
-9
Step-by-step explanation:
-9x^-(-9)=-9x^9
❗️❗️❗️HELP❗️❗️❗️
Use f(x) and g(x) to answer the question.
f(x) = x +4
g(x) = x – 2
What is the product (fºg)(x)?
Answers
Answer:
Correct answer is the first one x^2 + 2x - 8
because (x + 4) (x - 2)
= x ^2 + 4x - 2x - 8
= x^2 + 2x - 8
3. A line contains the points P (1,1) and Q (7,10) what is the slop of the line
Answers
Answer:
9/6 is the slope but that simplifies to 3/2
Step-by-step explanation:
y2-y1
x2-x1
10-1=9
7-1=6
I need help with these questions (see image). Please show workings.
Answers
Answer:
Q1. 37.3 cmQ2. (a) 8.66 cm (b) 17.3 cmStep-by-step explanation:
Question 1
GivenChord 1 c1 = 36 cmChord 2 c2 = 30 cmRadius r = d/2 = 50/2 = 25 cmChords are parallelTo find The distance between the chordsSolutionThe distance between the chords is sum of the distances between the center and the midpoint of the chords
The segments between the center to the midpoints of the chords for right triangles with one side being the radius.
The distance is:
h = h1 + h2 h1 = [tex]\sqrt{r^2 - (c1/2)^2} = \sqrt{25^2 - 18^2} = \sqrt{301}[/tex] ≈ 17.3 cm (rounded)h2 = [tex]\sqrt{r^2 - (c2/2)^2} = \sqrt{25^2 - 15^2} = \sqrt{400}[/tex] = 20 cmh = 17.3 + 20 = 37.3 cm------------------------------------------
Question 2
GivenEquilateral triangle inscribed into circleSide of the triangle is 30 cmTo findDistance between the center and the sideRadiusSolutionMidpoint of the side, the center and the vertex form a right triangle with 30° angle at the vertex.
Let the radius be r, the distance from the center to the side be h
Then we have:
r² = h² + (30/2)²As per property of 30°-60°=90° triangle, the side opposite to 30° is half of the hypotenuse. In this case, h = r/2 or r = 2h
Substitute r into equation above and solve for h:
(2h)² = h² + 2253h² = 225h² = 75h = √75 = 8.66 cm (rounded)Find the value of r:
r = 2*8.66 = 17.3 cm (rounded)Evaluate: 4 + 8 / 2 • (6 - 3)
Answers
Answer:
4 + 8 / 2 · (6 - 3) = 16
Step-by-step explanation:
Use PEMDAS
Parenthesis first
6 - 3 = 3
the equation is now 4 + 8 / 2 · 3
divide 8 and 2 = 4
4 + 4 · 3
multiply 4 and 3 = 12
4 + 12
add 4 and 12 = 16
Help im very confused....
Answers
Answer:
The answer is the last one. Nerve cell, nerves, brain, nervous system, and mouse. These go from the least complex to the most complex
Answer: nerve cell, nerves, brain, nervous system, mouse
Step-by-step explanation: the human body is more difficult to understand then just a mouse
Joanne deposits $4,300 into a one-year CD at a rate of 2.3%, compounded daily.
What is her ending balance after the year?
How much interest does she earn?
What is her annual percentage yield to the nearest hundredth of a percent?
Answers
Answer:
5k
Step-by-step explanation:
The interest accrued on the principal is $100.
Using the formula;
A = P( 1 + r/n)^nt
A - amount
P - Principal
r = rate
n = Number of times the interest is compound
t = time in years
Substituting values;
A = 4,300( 1 + 0.023/365)365 × 1
A = $4400
Interest = $4400 - $4,300 = $100
The annual percentage yield is obtained from;
APY=100 (1 + r/n )n – 1
APY=100 (1 + 0.023/365)^n - 1
APY= 100(0.023)
APY= 2.3 %
Learn more: https://brainly.com/question/14283892
Solve the right triangle. Round decimal answers to the nearest tenth. what is angle a and angle b
Answers
Answer:
b = 12.6
Step-by-step explanation:
a*2 + b*2 = c*2
6*2 + b*2 = 14*2
36 + b*2 = 196
Subtract 36 from both sides
36 + b*2 = 196
-36 -36
b*2 = 160
Find the square root of both
b = 12.64911064 or 12.6