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Popular >

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

Solution

inverse

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

Solution

\frac{1}{x} + 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{1}{x} + 1

Popular Examples

periodicity of y=sin(3x)periodicity

y = sin (3 x)

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

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

range of f(x)=(3x^2)/(x^2-9)range

f (x) = \frac{3 x ^{2}}{x ^{2} - 9}

domain of f(x)=x+9 domain

f (x) = x + 9

intercepts of y=-x^2-1 intercepts

y = - x^{2} - 1

Frequently Asked Questions (FAQ)

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