18.) (p-of-h)(2) _-_-_-(20.) (h-of-p)(1) -_--_--(22.)(h-of-p)(-3) _-_-_-(24.) (p-of-h) (1.5)?

Question

using, h(x)=x^2 and p(x)= 2x-3, evelaute each composition

Answer 1

h(2) = 2^2 = 4
p(h(2)) = p(4) = 2*4 - 3 = 5

p(1) = 2*1 - 3 = -1
h(p(1)) = h(-1) = (-1)^2 = 1

In general,

p(h(x)) = p(x^2) = 2x^2 - 3
h(p(x)) = h(2x-3) = (2x-3)^2