f(g(3))=x^2+1

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Solution for f(g(3))=x^2+1 equation:


Simplifying
f(g(3)) = x2 + 1

Reorder the terms for easier multiplication:
f(3g) = x2 + 1

Remove parenthesis around (3g)
f * 3g = x2 + 1

Reorder the terms for easier multiplication:
3f * g = x2 + 1

Multiply f * g
3fg = x2 + 1

Reorder the terms:
3fg = 1 + x2

Solving
3fg = 1 + x2

Solving for variable 'f'.

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

Divide each side by '3g'.
f = 0.3333333333g-1 + 0.3333333333g-1x2

Simplifying
f = 0.3333333333g-1 + 0.3333333333g-1x2

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