I need help on number 5

A fraction is undefined if its denominator is zero, because then it's saying "Division by zero !" which is a definite no-no.
Can the denominator of the fraction in #5 ever be zero ?
The denominator is a quadratic polynomial. Do you know how to solve (a quadratic polynomial) = 0 ?
This problem is even easier than that, because it gives you some choices. So you don't even have to solve the quadratic equation. All you have to do is check out the choices. Do you see choice of 'x' values that make the denominator zero ?
Big sloppy hint: Look at choice-E very very carefully.
Is that enough help ?

Answered by AL2006 | 2024-06-10

To check if the fraction in question #5 is defined, you need to find out if its denominator can equal zero by solving the equation derived from the denominator. Review the provided options for any value of 'x' that makes this denominator zero, as these will indicate where the fraction is undefined. Ensuring the denominator is never zero provides clear boundaries for valid 'x' values in your solution.
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Answered by AL2006 | 2024-09-30