Question

If f(x)=x^2-3 and

g(x)=4-3x
then f(g(x)) is?
could you guys help me solve this step by step?

Answer 1

Since it is f of g you have to start by plugging in g(x) into f(x)

(4-3x)^2-3

Then just solve the equation

(4-3x)^2-3
(4-3x)(4-3x)-3 Square the binomial
8-12x-12x+9x^2-3 Combine like terms
5-24x+9x^2 Final answer