Question

Suppose that the functions p and q are defined as follows.
p(x)= -2x+1
q(x)= 2x²-1

Find the following
(p ° q)(5)=
(q ° p)(5)=

Answer 1

Answer
Part 1 = -441
Part 2 = -539

Explanation
(p.q)(5) = (-2x+1)(2x²-1)
             = (-2x×2x²)-(-2x×1)+(1×2x²)-(1×1)
             = -4x³+2x+2x²-1
             = -4x³+2x²+2x-1
Substituting x witj 5;
-4×5³+2×5²+2×5-1
-441

part 2
(q.p)(5) = (2x²-1)(-2x+1)
            = (2x²×-2x)-(2x²×1)-(1×-2x)+(1×1)
            =  -4x³-2x²+2x+1

Substituting x with 5;
-4×5³-2×5²+2×5+1
-539