#1**+1 **

What are the equations of the asymptotes of the graph of \(f(x)=\frac{3}{x-2}+9\)

Set the denominator equal to zero to find the equation of an asymptote.

x - 2 = 0

x = 2

To find the other asymptote, let's first solve for x .

y = 3 / (x - 2) + 9

y - 9 = 3 / (x - 2)

(x - 2)(y - 9) = 3

x - 2 = 3 / (y - 9)

x = 3 / (y - 9) + 2

Now set this denominator equal to zero to find the equation of the other asymptote.

y - 9 = 0

y = 9

hectictar Jan 12, 2018

#1**+1 **

Best Answer

What are the equations of the asymptotes of the graph of \(f(x)=\frac{3}{x-2}+9\)

Set the denominator equal to zero to find the equation of an asymptote.

x - 2 = 0

x = 2

To find the other asymptote, let's first solve for x .

y = 3 / (x - 2) + 9

y - 9 = 3 / (x - 2)

(x - 2)(y - 9) = 3

x - 2 = 3 / (y - 9)

x = 3 / (y - 9) + 2

Now set this denominator equal to zero to find the equation of the other asymptote.

y - 9 = 0

y = 9

hectictar Jan 12, 2018