Question

Help please 17. G(9)+h(-14)

Answer 1

15

Explanation:

Given functions:

`g(x)=14-(2)/(3)x`

`h(x)=-x-7`

g(9) means to substitute x = 9 into function g(x):

`\begin{aligned}\implies g(9)&=14-(2)/(3)(9)\\&=14-(18)/(3)\\&=14-6=8\end{aligned}`

h(-14) means to substitute x = -14 into function h(x).

`\begin{aligned}\implies h(-14)&=-(-14)-7\\&=14-7\\&=7\end{aligned}`

Therefore:

`\begin{aligned}\implies g(9)+h(-14)&=8+7\\&=15\end{aligned}`

As one calculation:

`\begin{aligned}\implies g(9) + h(-14)&=\left(14-(2)/(3)(9)\right)+\left(-(-14)-7\right)\\&=\left(14-(18)/(3)\right)+\left(14-7\right)\\&=\left(14-6\right)+\left(14-7\right)\\&=8+7\\&=15\end{aligned}`