For the function f (x) = 1/x-2 + 5 notice that a=1, h=2, k=5

What are the vertical and horizontal asymoptote

Question

Mathematics

Rachael Parks

3 January, 16:32

For the function f (x) = 1/x-2 + 5 notice that a=1, h=2, k=5

What are the vertical and horizontal asymoptote

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Answers (1)

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Giana Cross · Answer 1

x = 2 is the vertical asymptote

y = 5 is the horizontal asymptote

Step-by-step explanation:

The vertical asymptote is when it is undefined, or when the denominator is 0. This is when x = 2.

To find the horizontal asymptote, we need to find the value y can never be. Notice 1 / (x-2) is never 0, so when y = 5, that value has to be 0, but this is not possible, so y = 5 is the vertical asymptote.

For the function f (x) = 1/x-2 + 5 notice that a=1, h=2, k=5What are the vertical and horizontal asymoptote

For the function f (x) = 1/x-2 + 5 notice that a=1, h=2, k=5

What are the vertical and horizontal asymoptote