1. Finding the inverse function

Let f(x) = 3 + x^2 + tan((pi x)/2) where -1 is less than x is less than 1.

(a) Find f inverse(3)
(b) Find f(f inverse(5))

Thank you

2. Originally Posted by question111
Let f(x) = 3 + x^2 + tan((pi x)/2) where -1 is less than x is less than 1.

(a) Find f inverse(3)
note that $f(0) = 3$

(b) Find f(f inverse(5))
$f[f^{-1}(x)] = x$

3. I understand, thank you.