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

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

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inverse of f(x)=(x^2)/2

inverse

f (x) = \frac{x ^{2}}{2}

2 x, - 2 x

Solution steps

y = \frac{x ^{2}}{2}

Replace

x

with

y

x = \frac{y ^{2}}{2}

Solve for

y, x = \frac{y ^{2}}{2}

2 x, - 2 x

(5, - 14), (12, - 9)

y = x^{4} - 16 x^{2}

f (x) = \frac{1}{z - 1}

f (x) = x^{2} + 5

\frac{x - 3}{x - 10}

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