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

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

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

inverse

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

2 x - 3

Solution steps

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

Replace

x

with

y

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

Solve for

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

2 x - 3

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

\frac{2 x}{3 x ^{2} - 3}

f (x) = \frac{- 6 x + 5}{7 x + 4}

f (x) = x^{2} + 2 x + 1

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

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