Question

PLEASE HELP ASAP 100 points (07.09)Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answerbelow: (1 point)f(x) = 6x + 3g(x) = x - 741725o31

Answer 1

we are given the following functions:

`\begin{gathered} f(x)=6x+3 \\ g(x)=x-7 \end{gathered}`

We are asked to determine:

`(f+g)(3)`

To do that, let's remember the following relationship:

`(f+g)(3)=f(3)+g(3)`

Therefore, we need to substitute x = 3 in each function. Substituting in f(x):

`\begin{gathered} f(3)=6(3)+3 \\ f(3)=18+3 \\ f(3)=21 \end{gathered}`

Substituting in g(x):

`\begin{gathered} g(3)=3-7 \\ g(3)=-4 \end{gathered}`

Adding both functions:

`f(3)+g(3)=21-4=17`

Therefore, the answer is 17.