What is the inverse of f(x)=((x+4))/((2x-7)) ?

The inverse of f(x)=((x+4))/((2x-7)) is (4+7x)/(2x-1)

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inverse of f(x)=((x+4))/((2x-7))

inverse

f (x) = \frac{( x + 4 )}{( 2 x - 7 )}

\frac{4 + 7 x}{2 x - 1}

Solution steps

y = \frac{x + 4}{2 x - 7}

Replace

x

with

y

x = \frac{y + 4}{2 y - 7}

Solve for

y, x = \frac{y + 4}{2 y - 7}

\frac{4 + 7 x}{2 x - 1}

\frac{x}{3 x + 6}

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

x = 3

f (x) = \frac{( x + 5 )}{( x + 7 )}

4 x - 2

What is the inverse of f(x)=((x+4))/((2x-7)) ?
The inverse of f(x)=((x+4))/((2x-7)) is (4+7x)/(2x-1)