What is the inverse of f(x)=(2x+3)/(1-5x) ?

The inverse of f(x)=(2x+3)/(1-5x) is -(3-x)/(2+5x)

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inverse of f(x)=(2x+3)/(1-5x)

inverse

f (x) = \frac{2 x + 3}{1 - 5 x}

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

Solution steps

y = \frac{2 x + 3}{1 - 5 x}

Replace

x

with

y

x = \frac{2 y + 3}{1 - 5 y}

Solve for

y, x = \frac{2 y + 3}{1 - 5 y}

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

5 x - 3 y = - 15

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

f (x) = 7^{x} + 4

x + sin (x)

f (x) = \frac{3}{2} x^{4}

What is the inverse of f(x)=(2x+3)/(1-5x) ?
The inverse of f(x)=(2x+3)/(1-5x) is -(3-x)/(2+5x)