Question

When looking at a rational function, Charles and Bobby have two different thoughts. Charles says that the function is defined at x = −2, x = 3, and x = 5. Bobby says that the function is undefined at those x values. Describe a situation where Charles is correct, and describe a situation where Bobby is correct. Is it possible for a situation to exist that they are both correct? Justify your answer.

Answer 1

when Bobby is correct the function looks like this
\[\frac{(any~expression)}{(x+2)(x-3)(x-5)}\]
that's undefined for x={-2, 3, 5}

when Charles is correct the denominator cannot be zero when x={-2, 3, 5}, so it cannot have any of the three parentheses from the undefined function in the denominator, anything else is defined for x={-2, 3, 5}

Answer 2

Omg, Thank you so much

Answer 3

no problem