Question

F(x) = 4x + 5
g(x) = x^2 + 4x + 2
Find: f(g(x))

Answer 1

`f(g(x))=4x^2+16x+13`

Using substitution, we can substitute the
`x` in
`4x+5` with
`x^2+4x+2`. That gives us the equation

`4(x^2+4x+2) + 5`

Now using the distributive property, you multiply g(x) by 4. This gives us

`4x^2+16x+8+5`

If you add 8+5, you get 13, giving us our final equation:

`f(g(x))=4x^2+16x+13`