What is the inverse of f(x)=(5x+9)/(3x-5) ?

The inverse of f(x)=(5x+9)/(3x-5) is (9+5x)/(3x-5)

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inverse of f(x)=(5x+9)/(3x-5)

inverse

f (x) = \frac{5 x + 9}{3 x - 5}

\frac{9 + 5 x}{3 x - 5}

Solution steps

y = \frac{5 x + 9}{3 x - 5}

Replace

x

with

y

x = \frac{5 y + 9}{3 y - 5}

Solve for

y, x = \frac{5 y + 9}{3 y - 5}

\frac{9 + 5 x}{3 x - 5}

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

f (x) = \frac{5 x + 1}{2 - x}

f (x) = \frac{x}{x ^{2}}

f (x) = \frac{1}{x ^{2} - \frac{1}{9}}

5 x^{3} + 9

What is the inverse of f(x)=(5x+9)/(3x-5) ?
The inverse of f(x)=(5x+9)/(3x-5) is (9+5x)/(3x-5)