What is the inverse of f(x)=(5x-7)/(2x+3) ?

The inverse of f(x)=(5x-7)/(2x+3) is (-7-3x)/(2x-5)

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inverse of f(x)=(5x-7)/(2x+3)

inverse

f (x) = \frac{5 x - 7}{2 x + 3}

\frac{- 7 - 3 x}{2 x - 5}

Solution steps

y = \frac{5 x - 7}{2 x + 3}

Replace

x

with

y

x = \frac{5 y - 7}{2 y + 3}

Solve for

y, x = \frac{5 y - 7}{2 y + 3}

\frac{- 7 - 3 x}{2 x - 5}

f (x) = 0.01 x + 9

y = \frac{a ^{2}}{ln ( x + 2 )}

f (x) = \frac{x}{5} + 15

u (x) = 4 x - 8

2 cos (4 x + \frac{π}{2})

What is the inverse of f(x)=(5x-7)/(2x+3) ?
The inverse of f(x)=(5x-7)/(2x+3) is (-7-3x)/(2x-5)