Question

Suppose that the functio q(x)=-x-2 r(x)=ˣ²)+2 Find the following. (rq)(-5)

Answer 1

To find the value of (rq)(-5), we first evaluate q at -5 to get 3, then evaluate r at 3 to get 11. Hence, (rq)(-5) equals 11.

Step-by-step explanation:

The question asks us to calculate the composition of two functions, q(x) and r(x), and then evaluate this composition at a specific value, -5. The composition (rq)(x) means that you first apply q to x and then apply r to the result of q(x).

First, we find q(-5) by substituting -5 into q(x):
q(-5) = -(-5) - 2 = 5 - 2 = 3.

Next, we use the result from q(-5) as the input for r(x), so we compute r(3):
r(3) = 3² + 2 = 9 + 2 = 11.

Therefore, the value of (rq)(-5) is 11.