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}

f (x) = \frac{( 4 x ^{2} - x )}{( x ^{2} - 1 )}

(2.1) (5.4)

csc^{2} (x) d x

(- 6.8) (- 10.2)

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)