What is the inverse of f(x)=(3x+8)/(2x-3) ?

The inverse of f(x)=(3x+8)/(2x-3) is (8+3x)/(2x-3)

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inverse of f(x)=(3x+8)/(2x-3)

inverse

f (x) = \frac{3 x + 8}{2 x - 3}

\frac{8 + 3 x}{2 x - 3}

Solution steps

y = \frac{3 x + 8}{2 x - 3}

Replace

x

with

y

x = \frac{3 y + 8}{2 y - 3}

Solve for

y, x = \frac{3 y + 8}{2 y - 3}

\frac{8 + 3 x}{2 x - 3}

\frac{x ^{2} ( x + 1 )}{x + 1}

x^{3} - 5 x

\frac{2 ( x + 2 )}{x ^{2}}

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

f (x) = - sin (4 x)

What is the inverse of f(x)=(3x+8)/(2x-3) ?
The inverse of f(x)=(3x+8)/(2x-3) is (8+3x)/(2x-3)