Respuesta :

(f-g)(x) = f(x) - g(x) = 3^x + 10x - (4x - 2)  = 3^x + 6x + 2 Answer

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]