Question

24. if h(x) = ax^2 -6x, for what value(s) of a is h(3) = f(-1) -g(5)?what is the answer

Answer 1

`\begin{gathered} h(x)=ax^2-6x \\ h(3)=f(-1)-g(5) \end{gathered}`

First

`\begin{gathered} f(-1)=8 \\ g(5)=8 \end{gathered}`
`\begin{gathered} h(3)=a\cdot3^2-6\cdot3 \\ h(3)=9a-18 \\ 9a-18=0 \\ a=(18)/(9) \\ a=2 \end{gathered}`