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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

(- 2, 7), (- 2, - 8)

7 x + y = 6

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

(x + 3)^{2}

\frac{1}{e ^{x} + 1}

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