Question

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

Answer 1

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}`

Hope this helps!! :)

Please let me know if you have any questions