SOLUTION: Please help me solve H(x)= 8x over x(x^2-49)

Question 893508: Please help me solve
H(x)= 8x over x(x^2-49)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
That is a rational function. Nothing to solve. What do you really want from it? What is x? What is H(x) for some given x?

It EXCLUDES any value if x=0, because H is undefined for x=0.
It has a vertical asymptotes for x=-7 and x=7, because H is undefined at those values.
H contains the factor, , which is why x=0 is a hole, and not an asymptote.

You can check the signs of H around the critical x values so you can find where H is
positive and where negative, and how H behaves around the asymptote. The critical values
of x are 0 and -7 and 7.

(This attempted graph is not rendering. Try putting the function either into a graphing calculator or in the text search field of google.)

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