Question

Suppose that the functions q(x)=-3x-3
r(x)=-5x-2
Find the following. (r ∘ g)(-5) =__

Answer 1

Assuming a typo in the question and that it meant to find (r ∘ q)(-5), we first find q(-5) = 12, and then use r(x) to find r(12) = -62. Thus, the answer is (r ∘ q)(-5) = -62.

Step-by-step explanation:

The question asks to find the value of (r ∘ g)(-5), where the functions q(x) and r(x) are given. However, there is a typo in the question: it should reference q(x) instead of g(x) since g(x) is not defined. Assuming the typo, and the intended question is to find (r ∘ q)(-5), we begin by finding q(-5) and then using this result as the input for r(x).

1. First, calculate q(-5) using q(x) formula: q(-5)=-3(-5)-3.
2. q(-5) simplifies to 15 - 3, which equals 12.
3. Next, calculate r(12) using r(x) formula: r(12)=-5(12)-2.
4. r(12) simplifies to -60 - 2, which equals -62.

Therefore, (r ∘ q)(-5) = -62.