Question

(07.09) 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

Answer 1

(f + g)(x) = f (x) + g(x)
= (8x - 13) + (x - 9)
= 9x - 22
(f + g)(5) = 9(5) - 22 = 23

Answer 2

The value of (f+g)(5) is 23.

Explanation:

The given functions are

`f(x)=8x-13`

`g(x)=x-9`

Substitute x=5 in each function to find the values of f(5) and g(5).

`f(5)=8(5)-13=40-13=27`

`g(5)=5-9=-4`

We have to find the value of (f + g)(5).

Using addition property of two functions,

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

Substitute f(5)=27 and g(5)=-4 in the above equation.

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

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

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