# How do you find the asymptotes for f(x)= -1/x?

##### 1 Answer
Jan 2, 2018

Vertical asymptote: $x = 0$.
Horizontal asymptote: $y = 0$.

#### Explanation:

Since you cannot divide by 0, $x = 0$ is a vertical asymptote for this function. (Zeros of the denominator that do not cancel with zeros of the numerator are vertical asymptotes.)

Since the degree of the denominator is greater than the degree of the numerator, $y = 0$ is the horizontal asymptote.
{"ft_lang_label":"__label__en","ft_lang_prob":0.74529666,"math_prob":0.99418277,"size":363,"snap":"2021-04-2021-17","text_gpt3_token_len":87,"char_repetition_ratio":0.1281337,"word_repetition_ratio":0.0,"special_character_ratio":0.23140496,"punctuation_ratio":0.10294118,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9992533,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-04-14T01:53:14Z\",\"WARC-Record-ID\":\"<urn:uuid:be030e38-59c4-48bd-b24e-9ad106d6af2d>\",\"Content-Length\":\"32957\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f61968c1-8e0d-41bf-90a3-e2863d3fbb64>\",\"WARC-Concurrent-To\":\"<urn:uuid:e4857f7b-4b87-4a84-a86f-a1ca44b5f4e1>\",\"WARC-IP-Address\":\"216.239.32.21\",\"WARC-Target-URI\":\"https://socratic.org/questions/how-do-you-find-the-asymptotes-for-f-x-1-x-1\",\"WARC-Payload-Digest\":\"sha1:ARWEP5INB6XFBFCCHVDVCQH7YTFVHHIR\",\"WARC-Block-Digest\":\"sha1:ILHRW3TL6NTXRFOL4PXWWIU4HSXMIQMJ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-17/CC-MAIN-2021-17_segments_1618038076454.41_warc_CC-MAIN-20210414004149-20210414034149-00064.warc.gz\"}"}