Question

1. $g(7)-15$21. $-4-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 $g(7)-15$

Assuming $g(x)=x^2+5x$ (from handwritten work):
$g(7)=7^2+5(7)=49+35=84$
$g(7)-15=84-15=69$

Step2: Calculate $-4\cdot h(-13)$

Assuming $h(x)=x+4$ (from handwritten $h(-8)=-4$):
$h(-13)=-13+4=-9$
$-4\cdot h(-13)=-4(-9)=36$

Step3: Compute $f(-1)+g(-2)$

Assuming $f(x)=2x-1$ (from handwritten $f(-3)=-7$), $g(x)=x^2+5x$:
$f(-1)=2(-1)-1=-3$, $g(-2)=(-2)^2+5(-2)=4-10=-6$
$f(-1)+g(-2)=-3+(-6)=-9$

Step4: Solve $5-3x=-19$ for $x$

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

Step5: Solve $\frac{5}{2}x-1=-16$ for $x$

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

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

Locate $x=-6$ on the graph, $f(-6)=-8$

Step7: Find $f(0)$ from graph

Locate $x=0$ on the graph, $f(0)=-2$

Step8: Solve $f(x)=-5$ for $x$

Locate $y=-5$ on the graph, $x=-3$

Step9: Solve $f(x)=4$ for $x$

Locate $y=4$ on the graph, $x=9$

Answer:

1. $69$
2. $36$
3. $-9$
4. $x=8$
5. $x=-6$
6. $f(-6)=-8$
7. $f(0)=-2$
8. $x=-3$
9. $x=9$