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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

Respuesta :

irspow
(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: The correct option is (B) 17.

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

[tex]f(x)=6x+3,\\\\g(x)=x-7.[/tex]

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'

[tex](p+q)(x)=p(x)+q(x).[/tex]

So, we have

[tex](f+g)(x)=f(x)+g(x)=6x+3+x-7=7x-4.[/tex]

Therefore,

[tex](f+g)(3)=7\times3-4=21-4=17.[/tex]

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

Option (B) is CORRECT.

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