Question

Lf p (x) = x2 –1 and q ( x ) = 5x-5 which expression is equivalent to (p-q) (x )?

Answer 1

`(p-q)(x)=x^2-5x+4`

Explanation:

So we have the two functions:

`p(x)=x^2-1\text{ and } q(x)=5x-5`

And we want to find (p-q)(x).

This is the same as;

`(p-q)(x)=p(x)-q(x)`

Substitute:

`=(x^2-1)-(5x-5)`

Distribute the right:

`=x^2-1-5x+5`

Combine like terms:

`=x^2-5x+4`

And we're done!