Question

If f(x) =3^x+10 g(x) =4x -2 find (f-g)(x)
Help please greatly appreciated

Answer 1

`(f-g)(x)=3^x-4x+12`

Explanation:

The notation "(f-g)(x)" means we subtract the function g(x) from f(x) and get the expression. Very simple.

Let's do this:

`f(x) =3^x+10`

and

`g(x) =4x -2`

Now,

`(f-g)(x)=[3^x+10]-[4x-2]\\(f-g)(x)=3^x +10 -4x + 2\\(f-g)(x)=3^x-4x+12`

THis is the expression for (f-g)(x).