What is the inverse of f(x)=(-3x+4)/(5x-4) ?

The inverse of f(x)=(-3x+4)/(5x-4) is (4+4x)/(5x+3)

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inverse of f(x)=(-3x+4)/(5x-4)

inverse

f (x) = \frac{- 3 x + 4}{5 x - 4}

\frac{4 + 4 x}{5 x + 3}

Solution steps

y = \frac{- 3 x + 4}{5 x - 4}

Replace

x

with

y

x = \frac{- 3 y + 4}{5 y - 4}

Solve for

y, x = \frac{- 3 y + 4}{5 y - 4}

\frac{4 + 4 x}{5 x + 3}

f (x) = 2 x^{2} - 12 x + 7

4 - 6 (n - 1)

f (x) = 4 x + 6

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

f (x) = \frac{( 3 x - 2 )}{4}

What is the inverse of f(x)=(-3x+4)/(5x-4) ?
The inverse of f(x)=(-3x+4)/(5x-4) is (4+4x)/(5x+3)