College Algebra Homework

Question

How do you find f(x) and g(x) such that h(x)=(fog)(x) and h(x)=(5-6x)2

Answer 1

Think of a function as a rule or an instruction.

(fog)(x) is composite function notation which is another way of saying f(g(x)).

This means that you first apply an instruction g to x and then apply that result another instruction f.

Can you see that if g(x) was 5 - 6x and f(x) was 2x this would fit perfectly?