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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

domain of 8x^2 domain

8 x^{2}

parity f(x)=x^2+10 parity

f (x) = x^{2} + 10

inverse of y/(y+2)inverse

\frac{y}{y + 2}

inverse of x^2+3x-4 inverse

x^{2} + 3 x - 4

domain of x^4-x^2 domain

x^{4} - x^{2}

Frequently Asked Questions (FAQ)

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