What is the inverse of f(x)=(2x+1)/(5x+3) ?

The inverse of f(x)=(2x+1)/(5x+3) is (1-3x)/(5x-2)

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inverse of f(x)=(2x+1)/(5x+3)

inverse

f (x) = \frac{2 x + 1}{5 x + 3}

\frac{1 - 3 x}{5 x - 2}

Solution steps

y = \frac{2 x + 1}{5 x + 3}

Replace

x

with

y

x = \frac{2 y + 1}{5 y + 3}

Solve for

y, x = \frac{2 y + 1}{5 y + 3}

\frac{1 - 3 x}{5 x - 2}

f (x) = \frac{12}{x}

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

f (x) = 3 + 2 x

\frac{x ^{2} + 4 x - 5}{x - 1}

\frac{8 x}{7 x - 3}

What is the inverse of f(x)=(2x+1)/(5x+3) ?
The inverse of f(x)=(2x+1)/(5x+3) is (1-3x)/(5x-2)