consider the functions f and g in the graph. find (f - g)(3) and (f - g)(5). (f - g)(3)= (simplify your…

Explanation:

Step1: Recall the definition of function - difference

By the definition of the difference of two functions, $(F - G)(x)=F(x)-G(x)$. So, $(F - G)(3)=F(3)-G(3)$.

Step2: Read $F(3)$ and $G(3)$ from the graph

Locate $x = 3$ on the $x$-axis. For the function $F$, when $x = 3$, the $y$-value of the point on the graph of $F$ is $F(3)= - 4$. For the function $G$, when $x = 3$, the $y$-value of the point on the graph of $G$ is $G(3)= - 8$.

Step3: Calculate $(F - G)(3)$

Substitute $F(3)=-4$ and $G(3)= - 8$ into the formula $(F - G)(3)=F(3)-G(3)$. Then $(F - G)(3)=-4-(-8)=-4 + 8=4$.

Answer:

$4$