g(f(x))=h(g(x))

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Solution for g(f(x))=h(g(x)) equation: 


Simplifying
g(f(x)) = h(g(x))

Multiply f * x
g(fx) = h(g(x))

Multiply g * fx
fgx = h(g(x))

Multiply g * x
fgx = h(gx)

Multiply h * gx
fgx = ghx

Solving
fgx = ghx

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'gx'.
f = h

Simplifying
f = h

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