What is the inverse of f(x)=(1+5x)/(7-3x) ?

The inverse of f(x)=(1+5x)/(7-3x) is -(1-7x)/(5+3x)

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inverse of f(x)=(1+5x)/(7-3x)

inverse

f (x) = \frac{1 + 5 x}{7 - 3 x}

- \frac{1 - 7 x}{5 + 3 x}

Solution steps

y = \frac{1 + 5 x}{7 - 3 x}

Replace

x

with

y

x = \frac{1 + 5 y}{7 - 3 y}

Solve for

y, x = \frac{1 + 5 y}{7 - 3 y}

- \frac{1 - 7 x}{5 + 3 x}

f (x) = x^{2} + 9 x + 38

f (x) = 2 (- 3) - 3 (- 2) + 7

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

f (x) = 2 + e^{- 3 x}

sin (- \frac{12}{13})

What is the inverse of f(x)=(1+5x)/(7-3x) ?
The inverse of f(x)=(1+5x)/(7-3x) is -(1-7x)/(5+3x)