What is the inverse of f(x)=((x-5))/(4x-4) ?

The inverse of f(x)=((x-5))/(4x-4) is (-5+4x)/(4x-1)

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inverse of f(x)=((x-5))/(4x-4)

inverse

f (x) = \frac{( x - 5 )}{4 x - 4}

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

Solution steps

y = \frac{x - 5}{4 x - 4}

Replace

x

with

y

x = \frac{y - 5}{4 y - 4}

Solve for

y, x = \frac{y - 5}{4 y - 4}

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

f (1) = - 2 x + 8

lo g_{4} (x + 7)

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

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

f (x) = x^{2} - 8 x + 12

What is the inverse of f(x)=((x-5))/(4x-4) ?
The inverse of f(x)=((x-5))/(4x-4) is (-5+4x)/(4x-1)