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# Algebra

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What are the equations of the asymptotes of the graph of f(x)= 3/x-2 +9

Guest Jan 12, 2018

#1
+5907
+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
edited by hectictar  Jan 12, 2018
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#1
+5907
+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
edited by hectictar  Jan 12, 2018

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