Question

I need help with these two problems.Use the given functions solve:f(x)=6x+7. g(x)= -2x-4. h(x)= -3x/41. g(-6)2. h(-12)I also need help with this.I attached the graph that goes along with the questions.1. If Unit Produced is a function of Labor Hours,f(5)=?A. 3B. 4C. 8D. 102. What can be determined, when f(x)=8?A. Units produced are 5B. Labor hours are 5C. Units produced are 10D. Cannot be determined

Answer 1

We are given the following functions

$f\mleft(x\mright)=6x+7\qquad g(x)=-2x-4\qquad h(x)=-\frac{3x}{4}$

We are asked to find out g(-6) and h(-12)

1. g(-6)

it simply means that we have to plug x = -6 into the function of g(x)

$\begin{gathered} g(x)=-2x-4 \\ g(-6)=-2(-6)-4 \\ g(-6)=12-4 \\ g(-6)=8 \end{gathered}$

Therefore, g(-6) = 8

2. h(-12)

Once again we have to plug x = -12 into the function of h(x)

$\begin{gathered} h(x)=-\frac{3x}{4} \\ h(-12)=-\frac{3(-12)}{4} \\ h(-12)=\frac{36}{4} \\ h(-12)=9 \end{gathered}$

Therefore, h(-12) = 9