Consider the function f(x)=4 - x^2 for the domain [ 0,∞).

Question

Find f^−1 (x), where f^−1 is the inverse of f.

Also state the domain of f^−1 in interval notation.

f^-1 (x) = ___ for the domain ___

Answer 1

swap variables

x = 4-y^2
y = ±?(4-x)

But you need to pick the branch where 4-x >= 0.

take a look at the graph and I'm sure you can answer the questions.

http://www.wolframalpha.com/input/?i=%E2%88%9A(4-x)