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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = 4 (x - 5)^{2} - 1

h (x) = x^{2} - 4

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

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