Question

Express your answer as a polynomial in standard form.f(x) = -2.c + 10g(x) = 3x² + 5x + 14Find: f(g(x))

Answer 1

Given:

$\begin{gathered} f(x)=-2x+10 \\ g(x)=3x^2+5x+14 \end{gathered}$

To find f(g(x)), put the expression for g(x) in place of x in f(x).

$\begin{gathered} f(g(x))=-2(3x^2+5x+14)+10 \\ =-2\times3x^2-2\times5x-2\times14+10 \\ =-6x^2-10x-28+10 \\ =-6x^2-10x-18 \end{gathered}$

Therefore,

$f(g(x))=-6x^2-10x-18$