What is the inverse of f(x)=((-2x-7))/((6x+8)) ?

The inverse of f(x)=((-2x-7))/((6x+8)) is (-7-8x)/(2(1+3x))

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inverse of f(x)=((-2x-7))/((6x+8))

inverse

f (x) = \frac{( - 2 x - 7 )}{( 6 x + 8 )}

\frac{- 7 - 8 x}{2 ( 1 + 3 x )}

Solution steps

y = \frac{- 2 x - 7}{6 x + 8}

Replace

x

with

y

x = \frac{- 2 y - 7}{6 y + 8}

Solve for

y, x = \frac{- 2 y - 7}{6 y + 8}

\frac{- 7 - 8 x}{2 ( 1 + 3 x )}

What is the inverse of f(x)=((-2x-7))/((6x+8)) ?
The inverse of f(x)=((-2x-7))/((6x+8)) is (-7-8x)/(2(1+3x))