EXPLANATION
Given:
f(x) = x^2 - 10x + 24
g(x) = x-4
We need to compose them subtracting:
f(x) - g(x) = x^2 - 10x + 24 - x -(-4) (Adding similar terms)
f(x) - g(x) = x^2 -11x + 28
The equation will be:
x^2 -11x +28=0
As we know, the standard form of a quadratic function is:
[tex]x^2+\frac{b}{a}x=-\frac{c}{a}[/tex]Thus, to obtain this standard form, we need to apply the following steps:
1) Subtract +28 from both sides:
[tex]x^2-11x=-28[/tex]ANSWER is x^2-11x=-28 (Standard Form)
