H(x)= small 3 at top radical sign(4x^2 -1)

Question

Find the 2 functions f and g such that (f•g)(x)= H(x)

f(x)=

g(x)=

Answer 1

My guess as to the original problem is different from a previous poster. I assume the 3 is such that it indicates a cube root.

In that case, we let g(x) = 4x² + 1 and f(x) = x^1/3

Answer 2

Please see the uploaded video for a detailed explanation. The key of this question is that (f composition g)(x) is equal to f(g(x)).