missmollymoocow
Answered

If p(x) = x2 – 1 and 9(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
A)) 5(x - 1) - X²_1
B)) (5x - 1) – (x² - 1)
C)) (x2 - 1) – 5(x - 1)
D)) (x² - 1) – 5x-1

Answer :

carlosego

For this case we have the following functions:

[tex]p (x) = x ^ 2-1\\9 (x) = 5 (x-1)[/tex]

We must find [tex](p-9) (x).[/tex] By definition of composition of functions we have:

[tex](p-9) (x) = p (x) -9 (x)[/tex]

So:

[tex](p-9) (x) = x ^ 2-1- [5 (x-1)] = (x ^ 2-1) -5 (x-1)[/tex]

Thus, the correct option is option C.

Answer:

[tex](x ^ 2-1) -5 (x-1)[/tex]

Option C

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