1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NISA [10]
3 years ago
14

Let f(x)=(x-2)^3+8 Find the inverse of f(x). Please show steps in written form would be gladly appreciated

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0

Hello from MrBillDoesMath!

Answer:

(x-8)^(1/3) +2

Discussion:

To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8  and solve for y.

y = (x-2)^3 +8          =>  original function. swap x and y values

x = (y-2)^3 + 8        =>  subtract 8 from both sides

x - 8  = (y -2)^3        =>  take cube root of both sides

(x-8)^(1/3) = y - 2     => add 2 to both sides

(x-8)^(1/3) +2 = y      => y is the inverse



Thank you,

MrB

You might be interested in
Given uv = su tu sv prove vt = st
Lady bird [3.3K]

Answer:  see proof below

<u>Step-by-step explanation:</u>

\begin{array}{cl|cl}&\underline{\text{Statement}}&&\underline{\text{Reason}}\\1.&TU\perp SV&1.&\text{Given}\\2.&\angle TUV = 90^o&2.&\text{De finition of Perpendicular angles}\\&\angle TUS = 90^o&&\\3.&\angle TUV=\angle TUS&3.&\text{Transitive Property}\\4.&UV=US&4.&\text{Given}\\5.&TU=TU &5.&\text{Reflexive Property}\\6.&\triangle TUV = \triangle TUS&6.&\text{SAS Congruency Theorem}\\7.&VT=ST&7.&CPCTC\end{array}

5 0
3 years ago
The quotient of twice a number t and 12
frez [133]
\boxed{2t:12=\frac{2t}{12}}=\frac{t}{6}
4 0
3 years ago
Read 2 more answers
Mali bought a new car. She drove 63 miles the first month and 64 miles the second month. How much further did she drive the seco
Anvisha [2.4K]

Answer:

64-63=1 so she drove 1 extra miles the second month

Step-by-step explanation:

4 0
3 years ago
The hypotenuse of a right triangle is 50 millimeters long. One leg of the right triangle is 30 millimeters long. What is the len
alexandr1967 [171]
First. we use the Pythagorean theorem:
a {}^{2} +  b {}^{2} =  c {}^{2}
Add the numbers in
{30}^{2}  +  {b}^{2}  =  {50}^{2}
start simplifying
{b}^{2}  = 1600
b = 40

So, the leg has a length of 40 mm.
6 0
3 years ago
Last one for the class...
tigry1 [53]

Hope this helps!

Sorry the writing is really bad looking its hard to write on a laptop.

5 0
2 years ago
Other questions:
  • What is the total amount of money earned if $5,000 was in a savings account for three years at 2.5% interest
    12·1 answer
  • The graph of this system of equations is used to solve 4x^2-3x+6=2x^4-9x^3+2x What represents the solution set?
    6·2 answers
  • Please help me asap
    5·1 answer
  • The list below shows the ages of the first 20 fans to arrive at a professional basketball game. Display the fan age data on this
    14·2 answers
  • Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=36.
    9·1 answer
  • How many ways can you make a dollar with 3 quarters 6 dimes and 8 nickels?​
    7·2 answers
  • Can someone plz help meeee!!!!
    6·1 answer
  • WILL GIVE BRANLIEST!!!!!!!!!!!!!
    6·1 answer
  • Does the point (-9,-4) satisfy the equation y = x + 5?
    5·1 answer
  • Can someone help me with this?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!