Answer:
The value of (f-g)(x) is [tex]3^x+5x+3[/tex].
Step-by-step explanation:
The given functions are
[tex]f(x)=3^x+10x[/tex]
[tex]g(x)=5x-3[/tex]
We have to find the value of (f-g)(x).
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=3^x+10x-(5x-3)[/tex]
[tex](f-g)(x)=3^x+10x-5x+3[/tex]
[tex](f-g)(x)=3^x+10x-5x+3[/tex]
[tex](f-g)(x)=3^x+5x+3[/tex]
Therefore, the value of (f-g)(x) is [tex]3^x+5x+3[/tex].