Question

How do you find the compositions given `f(x)=4x^2`, `g(x)=-x+3`?

Answer 1

f(g(x)) = `4(-x + 3)^2`
g(f(x)) = `-4x^2 + 3`

Explanation:

f(g(x)) = f(-x + 3 ) = `4(-x + 3 )^2`

here you substitute the value (- x + 3 ) for x in f(x)

g(f(x)) = `g(4x^2) = -4x^2 + 3`

here you substitute the value `(4x^2) " for x in g(x)"`