What is the inverse of f(x)=(y+4)/(2y-5) ?

The inverse of f(x)=(y+4)/(2y-5) is (4+5y)/(2y-1)

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inverse of f(x)=(y+4)/(2y-5)

inverse

f (x) = \frac{y + 4}{2 y - 5}

\frac{4 + 5 y}{2 y - 1}

Solution steps

x = \frac{y + 4}{2 y - 5}

Replace

y

with

x

y = \frac{x + 4}{2 x - 5}

Solve for

x, y = \frac{x + 4}{2 x - 5}

\frac{4 + 5 y}{2 y - 1}

f (x) = 14 - \frac{( 1 + 10 )}{3}

- 3 x^{2} - 4 x + 4

f (x) = 1 + (x + 2)^{2}

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

f (x) = e^{9 s i n (x)}

What is the inverse of f(x)=(y+4)/(2y-5) ?
The inverse of f(x)=(y+4)/(2y-5) is (4+5y)/(2y-1)