Question

Given that f(x) = x² – 13x + 30 and g(x) = x – 3, find (f - g)(x) andexpress the result in standard form.

Answer 1

To calculate (f-g)(x) we simply subtract g from f and the organize the powers in descending order

we get

$(f-g)(x)=x^2-13x+30-(x-3)=x^2-13x-x+30+3=x^2-14x+33$

So (f-g)(x) = x^2-14x+33