Identify the vertical asymptotes of f(x) = 2 over quantity x squared plus 3 x minus 10.

Question

03-05-2017
Mathematics

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Identify the vertical asymptotes of f(x) = 2 over quantity x squared plus 3 x minus 10.

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HomertheGenius HomertheGenius · Answer 1 · 2017-05-13T19:13:10+02:00

HomertheGenius HomertheGenius

13-05-2017

The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.

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