f(x)=(x-1)2+3

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


Simplifying
f(x) = (x + -1) * 2 + 3

Multiply f * x
fx = (x + -1) * 2 + 3

Reorder the terms:
fx = (-1 + x) * 2 + 3

Reorder the terms for easier multiplication:
fx = 2(-1 + x) + 3
fx = (-1 * 2 + x * 2) + 3
fx = (-2 + 2x) + 3

Reorder the terms:
fx = -2 + 3 + 2x

Combine like terms: -2 + 3 = 1
fx = 1 + 2x

Solving
fx = 1 + 2x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = x-1 + 2

Simplifying
f = x-1 + 2

Reorder the terms:
f = 2 + x-1

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