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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 5 x^{2} + 3 x

cos (- 0.51698)

f (x) = 0.4346 x + 0.0238

y = 45 - 1.25 x

+ 3 cos (5 x - 9)

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