Math Questions and Answers

Start Your Free Trial

Find the inverse function of f(x)=x^3+2?

Expert Answers info

hala718 eNotes educator | Certified Educator

calendarEducator since 2008

write3,662 answers

starTop subjects are Math, Science, and Social Sciences


To find the inverse function f(x)^-1 , we will assume"


y-2= x^3

==> x= (y-2)^1/3

==> f(x)-1= (x-2)^1/3

check Approved by eNotes Editorial

neela | Student

To find the inverse function of f(x) = x^3+2.


Let y = x^3+2. So,

y-2 = x^3. Or

x^3 = y-2. Taking cube root,

x = (y-2) ^(1/3).

Interchanging x and y , we get:

y = (x-2)^(1/3) is the inverse function of the given function.


giorgiana1976 | Student

For the beginning, we'll write:f(x)=x^3+2 as y=f(x)=x^3+2

Now, we'll solve this equation for x:



Now, we'll interchange x and y:


So, the inverse function is:

[f(x)]^(-1) = (x-2)^1/3