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

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


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

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

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

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

Multiply 2 * 2
fx = 4(2 + x) + 1
fx = (2 * 4 + x * 4) + 1
fx = (8 + 4x) + 1

Reorder the terms:
fx = 8 + 1 + 4x

Combine like terms: 8 + 1 = 9
fx = 9 + 4x

Solving
fx = 9 + 4x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 9x-1 + 4

Simplifying
f = 9x-1 + 4

Reorder the terms:
f = 4 + 9x-1

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