Question

Find the inverse function (on the given interval, if specified)

f(x) = x² + 1 for x 20
Find the inverse function.
f'(x)= for x2

Answer 1

Explanation:

f(x) = x² + 1, where x >= 0.

Let y be f(x).

=> y = x² + 1

=> x² = y - 1

=> x = √(y - 1) because x is non-negative.

Hence f^-1(x) = √(x - 1), where x >= 1.