Answer:
(f-g)(x) is [tex]3^{x}+6x+2[/tex]
Step-by-step explanation:
The provided expression is [tex]f(x)=3^{x}+10x[/tex] and [tex]g(x)=4x-2[/tex]
To find (f-g)(x), subtract function g(x) from function f(x)
[tex](f-g)(x)[/tex]
[tex](3^{x}+10x)-(4x-2)[/tex]
Combine the like terms first,
[tex]3^{x}+10x-4x+2[/tex]
[tex]3^{x}+6x+2[/tex]
Hence, (f-g)(x) is [tex]3^{x}+6x+2[/tex]