HELP!
What are zeros of a function?
a member x of the domain of f such that f(x) vanishes at x
If we put that in English the zeros are the values of x that make y= 0.
you have to simpifly the top and bottom to see if anything cancles out. whateveer doesnt cancle out on the bottom is a zero
So in this case, since we have a fraction, and a fraction is 0 if its numerator is 0, we are looking for the values of x that make the numerator 0.
in other words you set the bottom equal to zero.
all real numbers except -2 and -4?
You have the right numbers but the wrong conclusion.
Those are the ONLY numbers that are zeros
Because they are the only numbers that cause the numerator to be 0
-2 and -4 ?
its only -4 because if you simplify both top and bottom then you realize that the x-2 on the bottom cancles out creating a whole not a zero.
Yes.
and all real numbers are not zeros.
That is very true. It cannot be -2 because -2 is not in the domain since it would make the denominator 0. Good find @mulline
So the only zero is -4
Thank you!!!
Join our real-time social learning platform and learn together with your friends!