Question

Given f(x) = 5x − 7 and g(x) = 11x − 1, solve for (f + g)(x) and select the correct answer below.

A. (f + g)(x) = 16x − 6
B. (f + g)(x) = 16x + 8
C. (f + g)(x) = 16x − 8
D. (f + g)(x) = 6x − 6

Answer 1

 (f+g)(x) is basically equal to f(x)+g(x), so you're just adding the two functions together.

Answer 2

The value of the function (f + g)(x) is 16x - 8 .

Option (C) is correct .

Explanation:

As given in the question

f(x) = 5x − 7

g(x) = 11x − 1

Now

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

Put the function values

(f + g)(x) = 5x - 7 + 11x - 1

= 16x - 8

Therefore the value of the function (f + g)(x) is 16x - 8 .

Option (C) is correct .