What is the inverse of f(x)= 1/(sqrt(2))sqrt(x) ?

The inverse of f(x)= 1/(sqrt(2))sqrt(x) is 2x^2

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inverse of f(x)= 1/(sqrt(2))sqrt(x)

inverse

f (x) = \frac{1}{2} x

2 x^{2}

Solution steps

y = \frac{1}{2} x

Replace

x

with

y

x = \frac{1}{2} y

Solve for

y, x = \frac{1}{2} y

2 x^{2}

f (x) = x^{2} + 2 x + 111

f (x) = 5 x^{2} - 39

f (x) = (\frac{1}{8}) x^{2} + 2 x + 7

f (x) = - 4 x^{9} - 4

f (x) = 5 x^{2} - 42

What is the inverse of f(x)= 1/(sqrt(2))sqrt(x) ?
The inverse of f(x)= 1/(sqrt(2))sqrt(x) is 2x^2