if $p(x)=x^{2}-1$ and $q(x)=5(x - 1)$, which expression is equivalent to $(p - q)(x)$?\n$5(x…

if $p(x)=x^{2}-1$ and $q(x)=5(x - 1)$, which expression is equivalent to $(p - q)(x)$?\n$5(x - 1)-x^{2}-1$\n$(5x - 1)-(x^{2}-1)$\n$(x^{2}-1)-5(x - 1)$\n$(x^{2}-1)-5x - 1$

if $p(x)=x^{2}-1$ and $q(x)=5(x - 1)$, which expression is equivalent to $(p - q)(x)$?\n$5(x - 1)-x^{2}-1$\n$(5x - 1)-(x^{2}-1)$\n$(x^{2}-1)-5(x - 1)$\n$(x^{2}-1)-5x - 1$

Answer

Explanation:

Step1: Recall function - subtraction rule

By the definition of function - subtraction, ((p - q)(x)=p(x)-q(x)).

Step2: Substitute the given functions

Given (p(x)=x^{2}-1) and (q(x)=5(x - 1)), then ((p - q)(x)=(x^{2}-1)-5(x - 1)).

Answer:

C. ((x^{2}-1)-5(x - 1))