SOLUTION: Need help with a problem. If f(x)=(x-B)/(x-A), f(-3)=0, and f(5) is undefined, what are the values of A and B?
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Question 966110: Need help with a problem. If f(x)=(x-B)/(x-A), f(-3)=0, and f(5) is undefined, what are the values of A and B?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
x-A=0 will be 0 if A=-x, or x=-A, and f(x) will be undefined at x=-A.
MEANING: Your denominator is .
x-B=0 means that x=B. You wanted , because that is according to , a zero or root of the function.
-
The numerator is .
Answer by ikleyn(52814) (Show Source): You can put this solution on YOUR website!
1) The fact that f(5) is undefined means that A=5. This is the only value when the function is undefined.
So, your function is f(x) = .
2) Now use the equation f(-3) = 0.
It means that = 0 at x= -3.
In turn, its means that x-B =0 at x= -3.
In other words, -3-B = 0.
Hence, B = -3.
Answer. A = 5, B = -3.
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