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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

Respuesta :

dalendrk
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

[tex](f+g)(5)[/tex] = 23

Step-by-step explanation:

Given the functions:

f(x) = 8x-13

g(x) = x-9

Solve: [tex](f+g)(5)[/tex]

First calculate:

[tex](f+g)(x) = f(x)+g(x)[/tex]

Substitute the given values we have;

[tex](f+g)(x) = 8x-13+x-9 = 9x-22[/tex]

Put x = 5 above we have;

[tex](f+g)(5) = 9(5)-22 = 45-22=23[/tex]

Therefore, the value of [tex](f+g)(5)[/tex] is 23



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