Question

if f(g(x)) = (x-3)^4
what is f(x) and g(x)

Answer 1

One possible solution is

f(x) = x^4

g(x) = x-3

Since

f(x) = x^4

f(g(x)) = ( g(x) )^4

f(g(x)) = ( x-3 )^4

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Another possible solution could be

f(x) = x^2

g(x) = (x-3)^2

Because

f(x) = x^2

f(g(x)) = ( g(x) )^2

f(g(x)) = ( (x-3)^2 )^2

f(g(x)) = (x-3)^(2*2)

f(g(x)) = (x-3)^4