Question

Will fan and medal! Please help. Thank you!!!

When looking at a rational function f of x equals the quantity x plus three times the quantity x minus two times the quantity x plus five all divided by the quantity x minus three times the quantity x plus two times the quantity x minus 5, 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. Who is correct? Justify your reasoning.

Answer 1

Bobby is correct. The function looks like this:

f(x)=[(x+3)(x-2)(x+5)]/[(x-3)(x+2)(x-5)]

When x=-2. x=3, or x=5, the denominator will be zero, making the function undefined.

Answer 2

Wow, thank you so much!!