What is the inverse of f(x)=((2x+5))/(x-3) ?

The inverse of f(x)=((2x+5))/(x-3) is (5+3x)/(x-2)

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inverse of f(x)=((2x+5))/(x-3)

inverse

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

\frac{5 + 3 x}{x - 2}

Solution steps

y = \frac{2 x + 5}{x - 3}

Replace

x

with

y

x = \frac{2 y + 5}{y - 3}

Solve for

y, x = \frac{2 y + 5}{y - 3}

\frac{5 + 3 x}{x - 2}

f (x) = x^{2} - 9

y = x - 2 x^{2} + 1

f (x) = \frac{1}{x ^{2} - 4 x - 5}

f (x) = \frac{8 + x}{1 - 8 x}

f (x) = 9 - 3 x

What is the inverse of f(x)=((2x+5))/(x-3) ?
The inverse of f(x)=((2x+5))/(x-3) is (5+3x)/(x-2)