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)=(-3)/(2)x+11 \\ f(-8)=(-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((2)/(3))=\left|15-9\cdot(2)/(3)\right| \\ h((2)/(3))=\left|15-6\right| \\ h((2)/(3))=\left|9\right| \\ h((2)/(3))=9 \end{gathered}`

Answers: f(-8) = 23

g(-2) = 16

h(2/3) = 9