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}

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)