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Popular >

inverse of f(x)=(2x+1)/(x+5)

Solution

inverse

f (x) = \frac{2 x + 1}{x + 5}

Solution

\frac{1 - 5 x}{x - 2}

Solution steps

y = \frac{2 x + 1}{x + 5}

Replace

x

with

y

x = \frac{2 y + 1}{y + 5}

Solve for

y, x = \frac{2 y + 1}{y + 5}

\frac{1 - 5 x}{x - 2}

Popular Examples

domain of f(x)=sqrt(6+5x)domain

f (x) = 6 + 5 x

parity f(x)=x+sin(x-355/113)parity

f (x) = x + sin (x - \frac{355}{113})

intercepts of f(x)=-2x(4x+5)(5x+5)intercepts

f (x) = - 2 x (4 x + 5) (5 x + 5)

inflection f(x)=x^4-50x^2+5 inflection points

f (x) = x^{4} - 50 x^{2} + 5

critical y=x^{2/5}(x+3)critical points

y = x^{\frac{2}{5}} (x + 3)

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=(2x+1)/(x+5) ?
The inverse of f(x)=(2x+1)/(x+5) is (1-5x)/(x-2)