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

The inverse of f(x)=ln(1/(sqrt(x))) is 1/(e^{2x)}

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

inverse

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

\frac{1}{e ^{2 x}}

Solution steps

y = ln (\frac{1}{x})

Replace

x

with

y

x = ln (\frac{1}{y})

Solve for

y, x = ln (\frac{1}{y})

\frac{1}{e ^{2 x}}

f (x) = 2 x^{2} + 1, x \leq 0

f (x) = e^{5 x + 1}

f (x) = \frac{2 x + 3}{4 x + 5}, x \neq = - \frac{5}{4}

f (x) = \frac{( x + 2 )}{5 x - 1}

f (x) = 4^{2 x + 1}

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