What is the inverse of f(x)=(-5x+4)/(3x-1) ?

The inverse of f(x)=(-5x+4)/(3x-1) is (4+x)/(3x+5)

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inverse of f(x)=(-5x+4)/(3x-1)

inverse

f (x) = \frac{- 5 x + 4}{3 x - 1}

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

Solution steps

y = \frac{- 5 x + 4}{3 x - 1}

Replace

x

with

y

x = \frac{- 5 y + 4}{3 y - 1}

Solve for

y, x = \frac{- 5 y + 4}{3 y - 1}

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

f (x) = \frac{5}{2} x - \frac{15}{2}

f (x) = 2 x [x + 3]

h (x) = [(x)]^{2} + 1

f (x) = \frac{- 5 x + 4}{3 x - 2}

ln (x^{2} - 3 x + 2)

What is the inverse of f(x)=(-5x+4)/(3x-1) ?
The inverse of f(x)=(-5x+4)/(3x-1) is (4+x)/(3x+5)