SOLUTION: Find the inverse of the function f(x) = x1/3 + 2. a. (x - 2)3 b. x1/3 + 2 c. (y - 2)3 d. Doesn’t exist this should be easy but I'm struggling with it.

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Question 83096This question is from textbook
: Find the inverse of the function f(x) = x1/3 + 2.
a. (x - 2)3
b. x1/3 + 2
c. (y - 2)3
d. Doesn’t exist
this should be easy but I'm struggling with it.
This question is from textbook

Answer by chitra(359)   (Show Source): You can put this solution on YOUR website!
This is a very problem and the solution for this goes this way:

To find the inverse of the given function.

f(x) =

Let y = f(x) =


y =

Replacing x and y we get:

x =

Solving for y, further we get:

x - 2 =

Taking the cube root on both sides, we get:

y =

Thus, the inverse value is:

=


Hence, the solution..


Happy Calculating!!

Hence, the exact answer for the given problem among the given choices is (a)

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