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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

3 x^{2} - x^{3} + 1

f (x) = lo g_{2} (4 x)

x - ln (x)

(1, 6), (6, 2)

\frac{3 + x}{x + 2}

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