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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 7 x + 14

f (x) = x^{2} + 5 x + 6

\frac{2 x + 9}{7 x}

f (x) = - \frac{2}{3} (2)^{4 - 3 x} + 5

\frac{2 x + 1}{5 x - 8}

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