Question

F(x) = 8x – 3; g(x) = 4x + 5 find (f-g)(x)

Answer 1

Given:

The two functions are
`f(x)=8x-3` and
`g(x)=4x+5`

We need to determine the value of the function
`(f-g)(x)`

The value of
`(f-g)(x)`:

The value of
`(f-g)(x)` can be determined using the formula,

`(f-g)(x)=f(x)-g(x)`

Substituting the values of the function in the above formula, we get;

`(f-g)(x)=8x-3-(4x+5)`

Simplifying, we get;

`(f-g)(x)=8x-3-4x-5`

Adding the like terms, we get;

`(f-g)(x)=4x-8`

Thus, the value of the function
`(f-g)(x)` is
`(f-g)(x)=4x-8`