If f(x)= x-B/x-A, f(2)=0, and f(1) is undefined, what are the calues of A and B?
my teacher is picky and requires all work to be shown. can you explain how you got this answer?
A is 1 from the f(1) is zero. The denominator has to be zero.
B is two, since A is one, and f(2) is 0
To find the values of A and B, we need to evaluate the given information. Let's start by considering the given function:
f(x) = (x - B)/(x - A)
We are given that f(2) = 0, which means we need to substitute x = 2 into the function and solve for A and B:
0 = (2 - B)/(2 - A)
Multiplying both sides by (2 - A), we get:
0 = 2 - B
Subtracting 2 from both sides gives us:
-2 = -B
Simplifying, we find:
B = 2
Now, let's move on to finding the value of A. We are given that f(1) is undefined, which means the denominator of the function, (x - A), must be zero when x = 1:
1 - A = 0
Solving for A, we get:
A = 1
Therefore, the values of A and B are A = 1 and B = 2, respectively.