Question

Express your answer as a polynomial in standard form.f(x) = x2 – x + 14g(x) = -5x8Find: g(f(x))

Answer 1

Answer::

`g\mleft(f\mleft(x\mright)\mright)=-5x^2+5x-78`

Step-by-step explanation:

Given the polynomials f(x) and g(x) defined below:

`\begin{gathered} f\mleft(x\mright)=x^2-x+14 \\ g\mleft(x\mright)=-5x-8 \end{gathered}`

The composite function: g(f(x))

`\begin{gathered} g\mleft(f\mleft(x\mright)\mright)=-5(f(x))-8 \\ =-5(x^2-x+14)-8 \\ =-5x^2+5x-70-8 \end{gathered}`

Therefore:

`g\mleft(f\mleft(x\mright)\mright)=-5x^2+5x-78`