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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

- 2 sin (\frac{7}{4} x)

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

f (x) = 4 x + 2 y = 14

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

\frac{x - 3}{x ^{2} - 4 x - 12}

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