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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

x - 4 = 0

f (x) = x^{3} - 1

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

f (x) = x^{4} - 8 x + 16

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

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