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

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Solution for f(g(x))=f(x^2) equation:


Simplifying
f(g(x)) = f(x2)

Multiply g * x
f(gx) = f(x2)

Multiply f * gx
fgx = f(x2)

Multiply f * x2
fgx = fx2

Solving
fgx = fx2

Solving for variable 'f'.

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

Add '-1fx2' to each side of the equation.
fgx + -1fx2 = fx2 + -1fx2

Combine like terms: fx2 + -1fx2 = 0
fgx + -1fx2 = 0

Factor out the Greatest Common Factor (GCF), 'fx'.
fx(g + -1x) = 0


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

Simplifying
fx = 0

Solving
fx = 0

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

Simplifying
fx = 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 '(g + -1x)' equal to zero and attempt to solve:

Simplifying
g + -1x = 0

Solving
g + -1x = 0

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

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

Combine like terms: g + -1g = 0
0 + -1x = 0 + -1g
-1x = 0 + -1g
Remove the zero:
-1x = -1g

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

Combine like terms: -1x + x = 0
0 = -1g + x

Simplifying
0 = -1g + x

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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