Question

If `f(x) = 1/x`, and `g(x) = sqrt(x-2)`, how do you find the domain and range of (f o g)(x)?

Answer 1

D:`(2, +oo)`
R:`(0, +oo)`

Explanation:

Given : `f(x)=1/x` and `g(x)=sqrt(x-2)`

`f (g(x))=1/g(x)=1/sqrt(x-2)`

Range should be `x>2` or `(2, oo)`. It cannot include 2 because that will make the function undefine because of `1/sqrt(0-0)`

God bless you....