f(x)=abs(x^2-5)+1

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Solution for f(x)=abs(x^2-5)+1 equation:


Simplifying
f(x) = abs(x2 + -5) + 1

Multiply f * x
fx = abs(x2 + -5) + 1

Reorder the terms:
fx = abs(-5 + x2) + 1
fx = (-5 * abs + x2 * abs) + 1
fx = (-5abs + absx2) + 1

Reorder the terms:
fx = 1 + -5abs + absx2

Solving
fx = 1 + -5abs + absx2

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 + -5absx-1 + absx

Simplifying
f = x-1 + -5absx-1 + absx

Reorder the terms:
f = -5absx-1 + absx + x-1

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