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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{x - 7}{x - 49}

\frac{x + 5}{x + 8}

f (x) = 6 (ln (x) - 4)

sin (\frac{12}{13})

y = lo g_{10} (3 x - 1)

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