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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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