Question

9Givenf(x) = 10 – 22 g(x) = 1 – 3c + 16), and h(x) = –22 + 8xFind 9(20) +h(7)

Answer 1

Given

`\begin{gathered} g(x)=\left|-3x+16\right| \\ \text{Substitute 20 for x in the function, then} \\ g(20)=\left|-3\ast20+16\right| \\ =\left|-60+16\right| \\ =\left|-44\right| \\ =44 \end{gathered}`

The function h(x) is

`\begin{gathered} h(x)=-x^2+8x \\ \text{Substitute 7 for x to get h(7)} \\ h(7)=-7^2+8\ast7 \\ =-49+56 \\ =7 \end{gathered}`

Therefore,

`\begin{gathered} g(20)\text{ +h(7)=}44+7 \\ =51 \end{gathered}`

Therefore, g(20)+h(7)=51