Question

f(x) = x2 – 9, g(x) = 2x + 3 and h(x) = x - 3. Find each of the following.
d) f(g(h(x)))
e) (g – h)(8)
f) h(f(-2))

Answer 1

(a) work from right to left:
replace the x in g(x) by h(x) ( x - 3) then simplify
then replace the x in f(x) by what you found and simplify again

Answer 2

e) subtract h(x) for g(x)
then replace x in the above result by 8 and work it out