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Popular >

inverse of f(x)=(x-1)/(x-3)

Solution

inverse

f (x) = \frac{x - 1}{x - 3}

Solution

\frac{- 1 + 3 x}{x - 1}

Solution steps

y = \frac{x - 1}{x - 3}

Replace

x

with

y

x = \frac{y - 1}{y - 3}

Solve for

y, x = \frac{y - 1}{y - 3}

\frac{- 1 + 3 x}{x - 1}

Graph

Popular Examples

domain of f(x)=sqrt(3-(x-3)^2)-2 domain

f (x) = 3 - (x - 3)^{2} - 2

domain of f(x)=-\sqrt[4]{x}domain

f (x) = - 4 x

inverse of f(x)= 4/(x-2)inverse

f (x) = \frac{4}{x - 2}

range of 1/(sqrt(x^2-9x+14))range

\frac{1}{x ^{2} - 9 x + 14}

asymptotes of f(1)=(x^2+4x+4)/(x^2+2x-3)asymptotes

f (1) = \frac{x ^{2} + 4 x + 4}{x ^{2} + 2 x - 3}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=(x-1)/(x-3) ?
The inverse of f(x)=(x-1)/(x-3) is (-1+3x)/(x-1)