Solving of composite function

Question

Suppose f(x) = 3/(x-4) and h(x) = (x²/3)-1 , how can I evaluate (h◦f)(-3)?

Answer 1

I would recommend combining these numbers:

(9/147) - 1 = (9/147) - (147/147) = -138/147 = -46/49

Answer 2

f(x) = 3 / (x-4) and h(x) = (x² / 3) - 1

(h o f)(-3) = h(f(-3)) = h(-3/7) = (9 / 147) - 1