For each function f below, find f ^{-1 }, the inverse function of f. Then find the domain of f ^{-1}, and write it using interval notation.

- f(x) = √x + 3 −4
- f(x) = 5− √x−2
- f(x) =
^{3}√2x−3 +1 - f(x) =
^{3}√4−x −7 - f(x)= 3x+1 / 2x-7
- f(x) = 9x−2 / 5x−4

For each pair of functions below: ﬁnd f ◦ g ; ﬁnd g ◦ f ; and use your results to determine whether f and g are inverses of each other.

1.f(x) = 3x−4 g(x) = 4x + 3

2.f(x)= 2/3x-6 g(x) =3/2x+9

3.f(x)=2/x g(x) =2/x

4.f(x)= - 3/2x g(x)=3/2x

#### Top Answer

I) 1. f − 1 ( x ) = ( x + 4 ) 2 − 3 ; Dom f − 1 = [ − 4 , + ∞ ) ... View the full answer