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

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

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

inverse

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

\frac{- 1 - 4 x}{5 x - 3}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 1 - 4 x}{5 x - 3}

f (x) = 13 - x

f (x) = \frac{x ^{2} - 25}{- 2 x ^{2} - 10 x}

f (x) = \frac{5 x}{x ^{2} + 16}

sec (x)

75 (92.5) + 55

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