Answer:
The value of (f+g)(5) is 23.
Step-by-step explanation:
The given functions are
[tex]f(x)=8x-13[/tex]
[tex]g(x)=x-9[/tex]
Substitute x=5 in each function to find the values of f(5) and g(5).
[tex]f(5)=8(5)-13=40-13=27[/tex]
[tex]g(5)=5-9=-4[/tex]
We have to find the value of (f + g)(5).
Using addition property of two functions,
[tex](f+g)(5)=f(5)+g(5)[/tex]
Substitute f(5)=27 and g(5)=-4 in the above equation.
[tex](f+g)(5)=27-4[/tex]
[tex](f+g)(5)=23[/tex]
Therefore the value of (f+g)(5) is 23.
