Find f(x) and g(x) such that h(x)=(f@g)(x)

Question

h(x)=√3x+6

Suppose that g(x)=3x+6

f(x)=

Answer 1

g(x) = 3x + 6

h(x) = f(g(x) = f(3x+6) = sqr3x + 6

f(x) = sqr(x-6) +6

f(g(x) = sqr(3x+6-6) +6 = sqr(3x) +6 = h(x)

UNLESS you meant to write

h(x) = sqr(3x+6)

then

f(g(x)) = f(3x+6)= sqr(3x+6)

and

f(x) = sqr(x)