Question

HELP PLEASE!

Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below: (1 point)

f(x) = 6x + 3

g(x) = x − 7


4
17
25
31

Answer 1

(f+g)(x)=f(x)+g(x)

(f+g)(x)=6x+3+x-7

(f+g)(x)=7x-4

(f+g)(3)=7(3)-4

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

(f+g)(3)=17

Answer 2

Answer: The correct option is (B) 17.

Step-by-step explanation: We are given the following two functions :

`f(x)=6x+3,\\\\g(x)=x-7.`

We are to find the value of (f +g)(x) and to select the correct option.

We know that

for any two functions p(x) and q(x), we have'

`(p+q)(x)=p(x)+q(x).`

So, we have

`(f+g)(x)=f(x)+g(x)=6x+3+x-7=7x-4.`

Therefore,

`(f+g)(3)=7*3-4=21-4=17.`

Thus, the required value of (f + g)(3) is 17.

Option (B) is CORRECT.