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

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

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inverse of f(x)=(x+1)/(2x+3)

inverse

f (x) = \frac{x + 1}{2 x + 3}

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

Solution steps

y = \frac{x + 1}{2 x + 3}

Replace

x

with

y

x = \frac{y + 1}{2 y + 3}

Solve for

y, x = \frac{y + 1}{2 y + 3}

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

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

x^{2} + 4 x + 4

(3, - 6), (- 3, 2)

f (x) = 8 x^{2} - 14 x + 2

f (x) = 3 2 x - 1

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