Answer:
[tex](p-q)(x)=x^2-5x+4[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]p(x)=x^2-1\text{ and } q(x)=5x-5[/tex]
And we want to find (p-q)(x).
This is the same as;
[tex](p-q)(x)=p(x)-q(x)[/tex]
Substitute:
[tex]=(x^2-1)-(5x-5)[/tex]
Distribute the right:
[tex]=x^2-1-5x+5[/tex]
Combine like terms:
[tex]=x^2-5x+4[/tex]
And we're done!
