What is the inverse of f(x)=((x+2))/((x+7)) ?

The inverse of f(x)=((x+2))/((x+7)) is (2-7x)/(x-1)

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inverse of f(x)=((x+2))/((x+7))

inverse

f (x) = \frac{( x + 2 )}{( x + 7 )}

\frac{2 - 7 x}{x - 1}

Solution steps

y = \frac{x + 2}{x + 7}

Replace

x

with

y

x = \frac{y + 2}{y + 7}

Solve for

y, x = \frac{y + 2}{y + 7}

\frac{2 - 7 x}{x - 1}

f (x) = 420 + 0.75 n

y = 1.6 x + 1.9 (50 - x)

\frac{d}{d} arctan (7 x + 10)

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

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

What is the inverse of f(x)=((x+2))/((x+7)) ?
The inverse of f(x)=((x+2))/((x+7)) is (2-7x)/(x-1)