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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 4^{2 x + 1}

f (x) = 2 x - 1 - 8

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

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

f (x) = \frac{4 x}{x + 3}

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