F(x) √(x-9) ; g(x) = 8x - 13 Find f(g(x)).

Question

F(x)
`√(x-9)` ; g(x) = 8x - 13 Find f(g(x)).

Answer 1

f(g(x)) =
`√(8x-22)`

Explanation:

Substitute x = g(x) into f(x), that is

f(g(x))

= f(8x - 13)

=
`√(8x-13-9)`

=
`√(8x-22)`