Question

If f(x) = 3^x+10x and g(x) = 4x-2, find (f-g)(x)

Answer 1

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

Answer 2

(f-g)(x) is
`3^(x)+6x+2`

Explanation:

The provided expression is
`f(x)=3^(x)+10x` and
`g(x)=4x-2`

To find (f-g)(x), subtract function g(x) from function f(x)

`(f-g)(x)`

`(3^(x)+10x)-(4x-2)`

Combine the like terms first,

`3^(x)+10x-4x+2`

`3^(x)+6x+2`

Hence, (f-g)(x) is
`3^(x)+6x+2`