SOLUTION: Find an equation that when it is reciprocated, it has vertical asymptotes of x=-1 x=2

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Question 1151184: Find an equation that when it is reciprocated, it has vertical asymptotes of x=-1 x=2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Given a function and the corresponding reciprocal function, the graph of the reciprocal function will have vertical asymptotes where the function has zeros (the x-intercept(s) of the graph of the function).

so, x=-1 and +x=2 are x-intercept: (-1,0), (2,0)
so, use root product theorem to find equation first
y=%28x-%28-1%29%29%28x-2%29
y=%28x%2B1%29%28x-2%29


so, when it is reciprocated we have
f(x)=1/y
f(x)=1/((x+1)(x-2)) for x%3C%3E-1 and x%3C%3E2
note: the vertical asymptotes are the values that are not allowed in the domain, they are in denominator
so, x=-1 and +x=2 are asymptotes