F(g(x+1))=x+1

Solution for F(g(x+1))=x+1 equation:

Simplifying
F(g(x + 1)) = x + 1

Reorder the terms:
F(g(1 + x)) = x + 1
F((1 * g + x * g)) = x + 1
F((1g + gx)) = x + 1
(1g * F + gx * F) = x + 1
(1gF + gxF) = x + 1

Reorder the terms:
1gF + gxF = 1 + x

Solving
1gF + gxF = 1 + x

Solving for variable 'g'.

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

Reorder the terms:
-1 + 1gF + gxF + -1x = 1 + x + -1 + -1x

Reorder the terms:
-1 + 1gF + gxF + -1x = 1 + -1 + x + -1x

Combine like terms: 1 + -1 = 0
-1 + 1gF + gxF + -1x = 0 + x + -1x
-1 + 1gF + gxF + -1x = x + -1x

Combine like terms: x + -1x = 0
-1 + 1gF + gxF + -1x = 0

The solution to this equation could not be determined.