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
What is the rate unit for 1700 meters in 40 minutes <br><br><br><br> please help
Rudik [331]

Answer:

42.5m/s

Step-by-step explanation:

Divide by 40

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=12%20%5Cfrac%7B3%7D%7B6%7D%20%2B%2014%5Cfrac%7B4%7D%7B6%7D%20" id="TexFormula1" title="12 \fra
Vikki [24]
27 1/6 or 163/6 or 27.16
6 0
3 years ago
Read 2 more answers
Petra jogs 2 miles in 24 minutes. At this rate, how long would it take her to jog 10 miles?
mestny [16]

Answer:

120 Minutes

Step-by-step explanation:

24 minutes / 2 miles = 12 minutes / 1 mile

12 minutes / 1 miles = x minutes / 10 miles

Cross multiply

12*10/1 = x

120 / 1 = x

x = 120

Hope that helps!

6 0
3 years ago
Round this number to the nearest thousand. <br> 8,336
victus00 [196]
8000 because 3 is less than 5 so you stay the same (which is 8)
4 0
3 years ago
Read 2 more answers
I need help with this ASAP
Law Incorporation [45]

Answer:

12.56637061 ?????

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Write the equation of a line that is parallel to x=8 and that passes through the point (-3,-2)
    14·1 answer
  • a welder earns $20 an hour for the first 40 hours she works in a week and $30 for every hour over 40 hours. Determine a piece wi
    10·1 answer
  • Draw the following scenario using a vertical number line.
    13·1 answer
  • A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What int
    9·2 answers
  • HELP ME PLSSS ASAP !!!!!!!!!!!!!!!!
    15·1 answer
  • NEED HELP WITH THIS PLEASE
    11·2 answers
  • PLEASE HELP!!!!!
    6·2 answers
  • Jenny bought an item online for $180, and she was charged a $9 fee for shipping. What percent of the sale price was the shipping
    10·1 answer
  • Help pls lol its timed
    8·2 answers
  • What is the greatest possible percent error in calculating the volume of a box measured to the nearest inch with sides of 5 in,
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!