What is the inverse of f(x)=((x+2))/(x+8) ?

The inverse of f(x)=((x+2))/(x+8) is (2-8x)/(x-1)

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inverse of f(x)=((x+2))/(x+8)

inverse

f (x) = \frac{( x + 2 )}{x + 8}

\frac{2 - 8 x}{x - 1}

Solution steps

y = \frac{x + 2}{x + 8}

Replace

x

with

y

x = \frac{y + 2}{y + 8}

Solve for

y, x = \frac{y + 2}{y + 8}

\frac{2 - 8 x}{x - 1}

- (x + 1)^{2} + 7

f (x) = d (x) = 2 x - 4

f (x) = 9 lo g_{2} (x) + 23

f (x) = \frac{2 x + 3}{5 x + 6}

7 \cdot lo g_{3} (x - 3)

What is the inverse of f(x)=((x+2))/(x+8) ?
The inverse of f(x)=((x+2))/(x+8) is (2-8x)/(x-1)