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

The inverse of f(x)= 1/(2sqrt(1-x)) is -(1-4x^2)/(4x^2)

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

inverse

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

- \frac{1 - 4 x ^{2}}{4 x ^{2}}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{1 - 4 x ^{2}}{4 x ^{2}}

f (x) = 3 x^{11} + 7

ln (9.23)

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

f (x) = 5 + \frac{8}{5} x

x^{2} - 4, x \geq 0

What is the inverse of f(x)= 1/(2sqrt(1-x)) ?
The inverse of f(x)= 1/(2sqrt(1-x)) is -(1-4x^2)/(4x^2)