Question

Express your answer as a polynomial in standard form.f(3) = -2x + 5g() = +33 + 10Find: (gof)(x)

Answer 1

The given functions are,

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

The gof can be determined as,

`\begin{gathered} \text{gof(x)}=g(f(x))| \\ =g(-2x+5) \\ =(-2x+5)^2+(-2x+5)+10 \\ =4x^2+25-20x-2x+5+10 \\ =4x^2-22x+40 \end{gathered}`

Thus, the requried value of gof is given by the above expression.