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

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Solution for g(f(x))=-x+6 equation: 


Simplifying
g(f(x)) = -1x + 6

Multiply f * x
g(fx) = -1x + 6

Multiply g * fx
fgx = -1x + 6

Reorder the terms:
fgx = 6 + -1x

Solving
fgx = 6 + -1x

Solving for variable 'f'.

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

Divide each side by 'gx'.
f = 6g-1x-1 + -1g-1

Simplifying
f = 6g-1x-1 + -1g-1

Reorder the terms:
f = -1g-1 + 6g-1x-1

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