Question

Evaluate expression given functions f and g.f(x)=3x-1, g(x)=8-x².3f(1)-4g(-2)

Answer 1

`\begin{gathered} f(x)=3x-1 \\ g(x)=8-x^2 \end{gathered}`

to solve

`3f(1)-4g(-2)`

first find f(1)

`\begin{gathered} f(1)=3(1)-1 \\ f(1)=2 \end{gathered}`

then find g(-2)

`\begin{gathered} g(-2)=8-(-2)^2 \\ g(-2)=8-4 \\ g(-2)=4 \end{gathered}`

now replace

`\begin{gathered} 3(2)-4(4) \\ 6-16 \\ =-10 \end{gathered}`