Question

suppose that the functions p and q are defined as follows. p(x) = 2x + 4 q(x) = -5x - 2 find the following. (p - q)(5) = (q - p)(5) =

Explanation:

Step1: Compute $q(5)$ first

$q(5) = -5(5) - 2 = -25 - 2 = -27$

Step2: Substitute into $p(q(5))$

$p(-27) = 2(-27) + 4 = -54 + 4 = -50$

Step3: Compute $p(5)$ first

$p(5) = 2(5) + 4 = 10 + 4 = 14$

Step4: Substitute into $q(p(5))$

$q(14) = -5(14) - 2 = -70 - 2 = -72$

Answer:

$(p \circ q)(5) = -50$
$(q \circ p)(5) = -72$