Question

Suppose that the functions p and q are defined as follows:

p(x) = 2x+1
g(x) = -x² - 1
Find the following:
(p•q)(1)
(q•p) (1)

Answer 1

To find (p•q)(1), multiply p(1) and q(1). To find (q•p)(1), multiply q(1) and p(1). The results for both are -6.

Step-by-step explanation:

To find (p•q)(1), we need to find the product of p(1) and q(1). First, we evaluate p(1) by substituting x=1 into the p(x) function: p(1) = 2(1) + 1 = 3. Next, we evaluate q(1) by substituting x=1 into the q(x) function: q(1) = -(1)^2 - 1 = -2. Finally, we calculate (p•q)(1) by multiplying p(1) and q(1) together: (p•q)(1) = 3 * (-2) = -6.

Similarly, to find (q•p)(1), we need to find the product of q(1) and p(1). First, we evaluate q(1): q(1) = -2. Then, we evaluate p(1): p(1) = 3. Finally, we calculate (q•p)(1) by multiplying q(1) and p(1) together: (q•p)(1) = (-2) * 3 = -6.