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

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

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

inverse

g (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}

7 x + x + 50

2 x^{2} + 1

x^{2} - 4 x + 4

f (x) = - 2 e^{- x} + 3

f (x) = arcsin (\frac{1}{2})

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