f(f(x))+4f(x)=6-x^4

Solution for f(f(x))+4f(x)=6-x^4 equation:

Simplifying
f(f(x)) + 4f(x) = 6 + -1x4

Multiply f * x
f(fx) + 4f(x) = 6 + -1x4

Multiply f * fx
f2x + 4f(x) = 6 + -1x4

Multiply f * x
f2x + 4fx = 6 + -1x4

Reorder the terms:
4fx + f2x = 6 + -1x4

Solving
4fx + f2x = 6 + -1x4

Solving for variable 'f'.

Reorder the terms:
-6 + 4fx + f2x + x4 = 6 + -1x4 + -6 + x4

Reorder the terms:
-6 + 4fx + f2x + x4 = 6 + -6 + -1x4 + x4

Combine like terms: 6 + -6 = 0
-6 + 4fx + f2x + x4 = 0 + -1x4 + x4
-6 + 4fx + f2x + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-6 + 4fx + f2x + x4 = 0

The solution to this equation could not be determined.