Question

Use these functions to answer this question.

Answer 1

Given:

The two functions are:

$P(x)=x^2-x-6$

$Q(x)=x-3$

To find:

The function $P(x)-Q(x)$.

Solution:

We need to find the function $P(x)-Q(x)$.

$P(x)-Q(x)=(x^2-x-6)-(x-3)$

$P(x)-Q(x)=x^2-x-6-x+3$

$P(x)-Q(x)=x^2+(-x-x)+(-6+3)$

$P(x)-Q(x)=x^2-2x-3$

Therefore, the correct option is C.