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

Verified Answer :

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:

Option A is correct

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

Step-by-step 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