Given:
The two functions are [tex]f(x)=8x-3[/tex] and [tex]g(x)=4x+5[/tex]
We need to determine the value of the function [tex](f-g)(x)[/tex]
The value of [tex](f-g)(x)[/tex]:
The value of [tex](f-g)(x)[/tex] can be determined using the formula,
[tex](f-g)(x)=f(x)-g(x)[/tex]
Substituting the values of the function in the above formula, we get;
[tex](f-g)(x)=8x-3-(4x+5)[/tex]
Simplifying, we get;
[tex](f-g)(x)=8x-3-4x-5[/tex]
Adding the like terms, we get;
[tex](f-g)(x)=4x-8[/tex]
Thus, the value of the function [tex](f-g)(x)[/tex] is [tex](f-g)(x)=4x-8[/tex]
