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

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

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

inverse

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

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

Solution steps

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

Replace

y

with

x

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

Solve for

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

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

(2.5 e^{- 1.7 x} + 7), x = 0.3

g (x) = \frac{( 6 x )}{( x - 1 )}

\frac{2}{3} x - 4

f (x) = 4 sin (\frac{π}{2} (x)) - 1

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