Question

If p(x)=x^2-1 and q(x)=5(x-1), which expression is equivalent to (p-q)(x)? A) 5(x-1)-x^2-1
B) (5x-1)-(x^2-1)
C) (x^2-1)-5(x-1)
D) (x^2-1)-5x-1

Answer 1

We know that,
(p-q) (x) = p(x) - q(x)

Given,
p(x)=x²-1
q(x) = 5(x-1)

Now,
$\therefore (p-q) (x) = p(x) - q(x) \\ \:\:\: \: = (x^2-1)-5(x-1)$

Therefore ,Correct option is C