What is the inverse of f(x)=((6x+2))/((2x+3)) ?

The inverse of f(x)=((6x+2))/((2x+3)) is (2-3x)/(2(-3+x))

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inverse of f(x)=((6x+2))/((2x+3))

inverse

f (x) = \frac{( 6 x + 2 )}{( 2 x + 3 )}

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

Solution steps

y = \frac{6 x + 2}{2 x + 3}

Replace

x

with

y

x = \frac{6 y + 2}{2 y + 3}

Solve for

y, x = \frac{6 y + 2}{2 y + 3}

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

What is the inverse of f(x)=((6x+2))/((2x+3)) ?
The inverse of f(x)=((6x+2))/((2x+3)) is (2-3x)/(2(-3+x))