The function $g$ is defined by $q(x)=a|x-9|^{2}-87|x-9|+b,$ where $a$…

Question

Prompt

The function

g

is defined by

q (x) = a ∣ x - 9 ∣^{2} - 87∣ x - 9∣ + b,

where

a

and

b

are constants,

a > b > 87.

q (639) = h

and

q (- 621) = k,

where

h

and

k

are constants, what is the value of

q (- 639)^{h - k} + 621 (q)^{k - h} ?

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