If f(x) = (x - B)/(x - A), f(2) = 0 and f(1) is undefined, what are the avlue of A and B?
Does the term "undefined" mean the same as "does not exist"?
I had the solution here, but i realize that you dont want answers.
Hint: A fraction is zero if the numerator is zero (given its denominator is not zero at the same time), a fraction is undefined if the denominator is zero.
not really, but kind of. "undefined" means we can't assign a particular value to the expression, while "does not exist" means it's not there at all
Does the term "undefined" mean the same as "does not exist"?
Well there is only one value of A that will make f(1) undefined:
If the denomintator is 0 then the expression is undefined.
So set x - A = 0 when x = 1.
Thus
1 - A = 0 ==> A = 1.
So the expression is
We also know that f(2) = 0. The expression is 0 when the numerator is 0. So set x - B = 0 when x = 2.
Thus
2 - B = 0 ==> B = 2.
So the expression is
-Dan
Now we are told that f(2) = 0.
I also told you that a fraction is zero if the numerator is zero (provided the denominator isn't zero at the same time)
so this means
Now and we are told this is undefined. i told you a fraction is undefined if we divide by zero. so this means