Question

Use f(x) =11. f(-8)35x + 11, g(x)=x2-7x, and h(x) = 15 - 9x to evaluate each function.12. g(-2)13.14. 9(5)+g(9)15. 1-216. If f(x) = -7, find x.17. If h(x) = 48, find x.18. Find /(-8c + 2)19. Find g(x-8)

Answer 1

To find f(-8), we just need to replace x by -8 on the function f(x) as:

$\begin{gathered} f(x)=\frac{-3}{2}x+11 \\ f(-8)=\frac{-3}{2}(-8)+11 \\ f(-8)=12+11 \\ f(-8)=23 \end{gathered}$

At the same way g(-2) is equal to:

$\begin{gathered} g(x)=x^2-7x \\ g(-2)=(-2)^2-7\cdot(-2) \\ g(-2)=4+14 \\ g(-2)=16 \end{gathered}$

Finally, h(2/3) is equal to:

$\begin{gathered} h(x)=\left|15-9x\right| \\ h(\frac{2}{3})=\left|15-9\cdot\frac{2}{3}\right| \\ h(\frac{2}{3})=\left|15-6\right| \\ h(\frac{2}{3})=\left|9\right| \\ h(\frac{2}{3})=9 \end{gathered}$

Answers: f(-8) = 23

g(-2) = 16

h(2/3) = 9