What is the inverse of f(x)=((6x-1))/(2x+5) ?

The inverse of f(x)=((6x-1))/(2x+5) is (-1-5x)/(2(-3+x))

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inverse of f(x)=((6x-1))/(2x+5)

inverse

f (x) = \frac{( 6 x - 1 )}{2 x + 5}

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

Solution steps

y = \frac{6 x - 1}{2 x + 5}

Replace

x

with

y

x = \frac{6 y - 1}{2 y + 5}

Solve for

y, x = \frac{6 y - 1}{2 y + 5}

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

4 x + 10 y = - 20

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

3 sin (x + \frac{π}{3}) + 1

f (x) = \frac{9}{x + 1}

(- 8, 0), (1, 4)

What is the inverse of f(x)=((6x-1))/(2x+5) ?
The inverse of f(x)=((6x-1))/(2x+5) is (-1-5x)/(2(-3+x))