Question

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 1

For this case we have the following functions:

$p (x) = x ^ 2-1\\9 (x) = 5 (x-1)$

We must find $(p-9) (x).$ By definition of composition of functions we have:

$(p-9) (x) = p (x) -9 (x)$

So:

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

Thus, the correct option is option C.

Answer:

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

Option C