What is the inverse of f(x)=((4x+3))/((2x+5)) ?

The inverse of f(x)=((4x+3))/((2x+5)) is (3-5x)/(2(-2+x))

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inverse of f(x)=((4x+3))/((2x+5))

inverse

f (x) = \frac{( 4 x + 3 )}{( 2 x + 5 )}

\frac{3 - 5 x}{2 ( - 2 + x )}

Solution steps

y = \frac{4 x + 3}{2 x + 5}

Replace

x

with

y

x = \frac{4 y + 3}{2 y + 5}

Solve for

y, x = \frac{4 y + 3}{2 y + 5}

\frac{3 - 5 x}{2 ( - 2 + x )}

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

\frac{x ^{3} - 27}{x - 3}

y = - 3 x - 4

f (x) = \frac{x}{2} + 6

What is the inverse of f(x)=((4x+3))/((2x+5)) ?
The inverse of f(x)=((4x+3))/((2x+5)) is (3-5x)/(2(-2+x))