F(x)f(y)=f(xy)

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Solution for F(x)f(y)=f(xy) equation: 


Simplifying
F(x) * f(y) = f(xy)

Multiply F * x
xF * f * y = f(xy)

Multiply xF * f
fxF * y = f(xy)

Multiply fxF * y
fxyF = f(xy)

Multiply f * xy
fxyF = fxy

Solving
fxyF = fxy

Solving for variable 'f'.

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

Add '-1fxy' to each side of the equation.
-1fxy + fxyF = fxy + -1fxy

Combine like terms: fxy + -1fxy = 0
-1fxy + fxyF = 0

Factor out the Greatest Common Factor (GCF), 'fxy'.
fxy(-1 + F) = 0


Subproblem 1
Set the factor 'fxy' equal to zero and attempt to solve:

Simplifying
fxy = 0

Solving
fxy = 0

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

Simplifying
fxy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1 + F)' equal to zero and attempt to solve:

Simplifying
-1 + F = 0

Solving
-1 + F = 0

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

Add '1' to each side of the equation.
-1 + 1 + F = 0 + 1

Combine like terms: -1 + 1 = 0
0 + F = 0 + 1
F = 0 + 1

Combine like terms: 0 + 1 = 1
F = 1

Add '-1F' to each side of the equation.
F + -1F = 1 + -1F

Combine like terms: F + -1F = 0
0 = 1 + -1F

Simplifying
0 = 1 + -1F

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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