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

Answer:

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

Step-by-step 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!