What is the inverse of f(x)=(-3x-3)/(2x-14) ?

The inverse of f(x)=(-3x-3)/(2x-14) is (-3+14x)/(2x+3)

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inverse of f(x)=(-3x-3)/(2x-14)

inverse

f (x) = \frac{- 3 x - 3}{2 x - 14}

\frac{- 3 + 14 x}{2 x + 3}

Solution steps

y = \frac{- 3 x - 3}{2 x - 14}

Replace

x

with

y

x = \frac{- 3 y - 3}{2 y - 14}

Solve for

y, x = \frac{- 3 y - 3}{2 y - 14}

\frac{- 3 + 14 x}{2 x + 3}

f (x) = ln (- 2 x) + 1

f (x) = \frac{ln ( 2 x )}{2 ln ( 2 )}

f (x) = \frac{5 - 8 x}{7 x}

\frac{3}{9 - x ^{2}}

f (x) = 20 x + 5

What is the inverse of f(x)=(-3x-3)/(2x-14) ?
The inverse of f(x)=(-3x-3)/(2x-14) is (-3+14x)/(2x+3)