Question

For the pair of functions f(x)=3x and g(x)=3x^2-4x+6 find the following:

(f o g)(x)

(f o g)(3)

(g o f)(x)

(g o f)(-1)

Answer 1

(f o g)(x)

substitute g(x) in every x in f(x),

so you have, f(x)=3x

sub in g(x) at x

f(x)=3(3x^2-4x+6)=9x^2-12x+18