inverse functions help????

Question

Answer 1

The functions are .

We need to find the domain of (f o g)(x).

We know that the domain is all x values such that f(x) is defined.

Since (f o g)(x) is a quotient, then the denominator can not be zero.

=> x - 11 > 0

=> x > 11

Therefore the domain is x = ( 11, infinity).

Comments

The domain of (fog) (x) = 1/(x - 11) is {x ∈ R : x ≠ 11}.