What is the inverse of f(x)=(x+1)/(2x+5) ?

The inverse of f(x)=(x+1)/(2x+5) is (1-5x)/(2x-1)

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inverse of f(x)=(x+1)/(2x+5)

inverse

f (x) = \frac{x + 1}{2 x + 5}

\frac{1 - 5 x}{2 x - 1}

Solution steps

y = \frac{x + 1}{2 x + 5}

Replace

x

with

y

x = \frac{y + 1}{2 y + 5}

Solve for

y, x = \frac{y + 1}{2 y + 5}

\frac{1 - 5 x}{2 x - 1}

[s + 41]

\frac{D}{D x} x^{2}

f (x) = 20 x - 4

2.1783 (11) + 25.2

f (x) = (x + 15) = 5 x - 1

What is the inverse of f(x)=(x+1)/(2x+5) ?
The inverse of f(x)=(x+1)/(2x+5) is (1-5x)/(2x-1)