What is the inverse of f(x)=0.5x^2 ?

The inverse of f(x)=0.5x^2 is sqrt(2)sqrt(x),-sqrt(2)sqrt(x)

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inverse of f(x)=0.5x^2

inverse

f (x) = 0.5 x^{2}

2 x, - 2 x

Solution steps

y = 0.5 x^{2}

Replace

x

with

y

x = 0.5 y^{2}

Solve for

y, x = 0.5 y^{2}

2 x, - 2 x

3 x - 9 y = 8

\frac{x ^{3} - 3 x ^{2} + 6 x - 8}{x}

2

\frac{2 x}{x + 7}

2 y - x = - 9

What is the inverse of f(x)=0.5x^2 ?
The inverse of f(x)=0.5x^2 is sqrt(2)sqrt(x),-sqrt(2)sqrt(x)