Question

Help please!!!!!!!!!

Answer 1

B.
`x^(2)` - 4x - 5

Explanation:

(p о n) (x) is the same thing as (p(n(x))

We know n(x) = x - 5, so let's input that into our expression

(p(x - 5))

Since we know p(x) = x^2 + 6x, let's replace the x with the new value x-5. Now our expression is:

p(x) = (x - 5)^2 + 6(x - 5)

Now all we have to do is simplify.

(x - 5)^2 is the same as: (x - 5)(x - 5)

Using the foil method, it simplifies to: x^2 - 10x + 25

6 (x - 5) = 6x - 30

Now our expression is: x^2 - 10x + 25 + 6x - 30

Combine like terms: x^2 - 4x - 5

The expression is:
`x^(2)` - 4x - 5