What is the inverse of f(x)=(4x+3)/(5x+9)+2 ?

The inverse of f(x)=(4x+3)/(5x+9)+2 is (21-9x)/(5x-14)

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inverse of f(x)=(4x+3)/(5x+9)+2

inverse

f (x) = \frac{4 x + 3}{5 x + 9} + 2

\frac{21 - 9 x}{5 x - 14}

Solution steps

y = \frac{4 x + 3}{5 x + 9} + 2

Replace

x

with

y

x = \frac{4 y + 3}{5 y + 9} + 2

Solve for

y, x = \frac{4 y + 3}{5 y + 9} + 2

\frac{21 - 9 x}{5 x - 14}

What is the inverse of f(x)=(4x+3)/(5x+9)+2 ?
The inverse of f(x)=(4x+3)/(5x+9)+2 is (21-9x)/(5x-14)