SOLUTION: 27) The numbers for which the rational expression is undefined are {{{(r^3-7r)/(r^2-49)}}}

Question 132142: 27) The numbers for which the rational expression is undefined are
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression

Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of r that make the denominator zero, then we must exclude them from the domain.

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:

or

or Now solve for r in each case

So our solutions are or

Since and make the denominator equal to zero, this means and make the rational expression undefined (remember you cannot divide by zero)

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