What is the inverse of f(x)=(x+4)/(2x-3) ?

The inverse of f(x)=(x+4)/(2x-3) is (4+3x)/(2x-1)

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inverse of f(x)=(x+4)/(2x-3)

inverse

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

\frac{4 + 3 x}{2 x - 1}

Solution steps

y = \frac{x + 4}{2 x - 3}

Replace

x

with

y

x = \frac{y + 4}{2 y - 3}

Solve for

y, x = \frac{y + 4}{2 y - 3}

\frac{4 + 3 x}{2 x - 1}

y = (\frac{( 1 + x )}{1 - x})

(x - 9)^{2} + 3

f (x) = \frac{x}{6 x + 5}

f (x) = \frac{1}{5} (3) - 6

What is the inverse of f(x)=(x+4)/(2x-3) ?
The inverse of f(x)=(x+4)/(2x-3) is (4+3x)/(2x-1)