find two functions f and g

Question

Suppose =H(x )= square root 6x²-7 (the complete equation is square root)

.

Find two functions f and g such that =∘(fog)(x)=H(x)

.Neither function can be the identity function.

(There may be more than one correct answer.)

f(x)=

g(x)=

Answer 1

f(x) = sqr(x)

g(x) = 6x^2 -7

(fog)(x) = f(g(x))

f(g(x)) = f(6x^2-7) = sqr(1/6x^2-7)

another possibility is

f(x)= x^2

and

g(x) = (6x^2-7)^(1/4)

and there's an infinite number of other f and g's