Question

Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below:

f(x) = 8x − 13
g(x) = x − 9

A.) 23
B.) 27
C.) 31
D.) 40

Answer 1

f(x) = 8x - 13
g(x) = x - 9

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

f(5) = 8 · 5 - 13 = 40 - 13 = 27
g(5) = 5 - 9 = -4

(f + g)(5) = f(5) + g(5) = 27 + (-4) = 23

Answer: A.) 23

Answer 2

Option A is correct

`(f+g)(5)` = 23

Explanation:

Given the functions:

f(x) = 8x-13

g(x) = x-9

Solve:
`(f+g)(5)`

First calculate:

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

Substitute the given values we have;

`(f+g)(x) = 8x-13+x-9 = 9x-22`

Put x = 5 above we have;

`(f+g)(5) = 9(5)-22 = 45-22=23`

Therefore, the value of
`(f+g)(5)` is 23