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Popular >

inverse of f(x)=2-1/x

Solution

inverse

f (x) = 2 - \frac{1}{x}

Solution

- \frac{1}{x - 2}

Solution steps

y = 2 - \frac{1}{x}

Replace

x

with

y

x = 2 - \frac{1}{y}

Solve for

y, x = 2 - \frac{1}{y}

- \frac{1}{x - 2}

Popular Examples

intercepts of f(x)=x^2+17x+16 intercepts

f (x) = x^{2} + 17 x + 16

range of 4/(x^2-4x)range

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

critical 3x^2-15x-18 critical points

3 x^{2} - 15 x - 18

inflection f(x)=(9x)/(x^2-4)inflection points

f (x) = \frac{9 x}{x ^{2} - 4}

domain of (-5x+25)/9 domain

\frac{- 5 x + 25}{9}

Frequently Asked Questions (FAQ)

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