SOLUTION: Find the inverse of the function f(x) = x^1/3 + 2

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Question 83098This question is from textbook
: Find the inverse of the function f(x) = x^1/3 + 2 This question is from textbook

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
To find the inverse of the given function.

f(x) = %28x%5E%281%2F3%29%29+%2B+2

Let y = f(x) = %28x%5E%281%2F3%29%29+%2B+2


y = %28x%5E%281%2F3%29%29+%2B+2

Replacing x and y we get:

x = %28y%5E%281%2F3%29%29+%2B+2

Solving for y, further we get:

x - 2 = %28y%5E%281%2F3%29%29

Taking the cube root on both sides, we get:

y = %28x+-+2%29%5E3

Thus, the inverse value is:

%28f%5E-1+%28x%29%29 = %28x+-+2%29%5E3


Hence, the solution..


Happy Calculating!!