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

Question

asked Feb 13, 2023 120k views

1 Answer

Gosfly · Answer 1 · 2023-02-16T23:38:43+0000

Answer:
$\Large\boxed{x^2-5x+4}$

Explanation:

Given function expressions

p(x)=x^2-1

q(x)=5(x-1)

Requirement of the question

Find the expression of
(p-q)(x)

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

Substitute values into the given expression

p(x)-q(x)

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

Expand the parenthesis

x^2-1-5x+5

Combine like terms

x^2-5x+5-1

$\Large\boxed{x^2-5x+4}$

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