Question

Given that f(x) = x2 – 10x + 16 and g(x) = x – 8, find (f – g)(x) and

express the result in standard form.

Answer 1

`(f-g)(x)=x^2-11x+24`

Explanation:

So we know that:

`f(x)=x^2-10x+16\text{ and } g(x)=x-8`

And we want to find (f-g)(x).

This is the same as:

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

Substitute:

`=(x^2-10x+16)-(x-8)`

Distribute the right:

`=(x^2-10x+16)-x+8`

Combine like terms:

`=x^2-11x+24`

And we're done!