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

The inverse of f(x)=((x+2))/((x+3)) is (2-3x)/(x-1)

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

inverse

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

\frac{2 - 3 x}{x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{2 - 3 x}{x - 1}

f (x) = - 3 x^{2} + 3, x \geq 0

f (x) = \frac{1}{3} lo g_{10} (2 x)

f (x) = \frac{- 12 - 7 x}{4}

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

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

What is the inverse of f(x)=((x+2))/((x+3)) ?
The inverse of f(x)=((x+2))/((x+3)) is (2-3x)/(x-1)