Question

1. $g(7)-15$21. $-4\cdot h(-13)$22. $f(-1)+g(-2)$23. given $f(x)=5-3x$, if $f(x)=-19$, find $x$.24. given $g(x)=\frac{5}{2}x-1$, if $g(x)=-16$, find $x$.use the graph below for questions 25-28.25. find $f(-6)$.26. find $f(0)$.27. if $f(x)=-5$, what is $x$?28. if $f(x)=4$, what is $x$?

Explanation:

Step1: Solve $g(7)-15$ (Q20)

Assume $g(x)=5x-11$ (from handwritten work):
$g(7)=5(7)-11=35-11=24$
$g(7)-15=24-15=9$

Step2: Solve $-4 \cdot h(-13)$ (Q21)

Note: No definition for $h(x)$ provided, cannot solve.

Step3: Solve $f(-1)+g(-2)$ (Q22)

Note: No definitions for $f(x), g(x)$ provided, cannot solve.

Step4: Solve $5-3x=-19$ (Q23)

Rearrange to isolate $x$:
$-3x=-19-5=-24$
$x=\frac{-24}{-3}=8$

Step5: Solve $\frac{5}{2}x-1=-16$ (Q24)

Rearrange to isolate $x$:
$\frac{5}{2}x=-16+1=-15$
$x=-15 \cdot \frac{2}{5}=-6$

Step6: Find $f(-6)$ from graph (Q25)

Locate $x=-6$ on the graph, the corresponding $y$-value is $-4$.

Step7: Find $f(0)$ from graph (Q26)

Locate $x=0$ on the graph, the corresponding $y$-value is $2$.

Step8: Find $x$ when $f(x)=-5$ (Q27)

Locate $y=-5$ on the graph, the corresponding $x$-value is $-7$.

Step9: Find $x$ when $f(x)=4$ (Q28)

Locate $y=4$ on the graph, the corresponding $x$-value is $2$.

Answer:

1. $9$
2. Cannot solve (no $h(x)$ definition)
3. Cannot solve (no $f(x), g(x)$ definitions)
4. $8$
5. $-6$
6. $-4$
7. $2$
8. $-7$
9. $2$