What is the inverse of 1/(4-sqrt(1-x)) ?

The inverse of 1/(4-sqrt(1-x)) is -(1+15x^2-8x)/(x^2)

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inverse of 1/(4-sqrt(1-x))

inverse

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

- \frac{1 + 15 x ^{2} - 8 x}{x ^{2}}

Solution steps

y = \frac{1}{4 - 1 - x}

Replace

x

with

y

x = \frac{1}{4 - 1 - y}

Solve for

y, x = \frac{1}{4 - 1 - y}

- \frac{1 + 15 x ^{2} - 8 x}{x ^{2}}

f (x) = \frac{3 x - 7}{7 x + 3}

f (x) = 20 ln (40 t - 1200)

f (x) = \frac{4 x}{3 x - 5}

+ cot (x)

3 X + 7

What is the inverse of 1/(4-sqrt(1-x)) ?
The inverse of 1/(4-sqrt(1-x)) is -(1+15x^2-8x)/(x^2)