Question

If f(x) = x - B/x - A, f(2) = 0, and f(1) is undefined, what are the values of A and B?

a. A = 1, B = 2
b. A = 2, B = 1
c. A = 1, B = 1
d. A = 2, B = 2

Answer 1

To find the values of A and B, we substitute x = 2 into the equation and set it equal to 0. Additionally, we use the fact that f(1) is undefined to find another equation to solve for A. Solving these two equations gives us A = 1 and B = 2.

Step-by-step explanation:

To find the values of A and B, we need to use the given information and equations.

Given that f(x) = x - B/x - A, and f(2) = 0, we can substitute 2 in place of x and set the equation equal to 0:

0 = 2 - B/2 - A

We also know that f(1) is undefined, which means the denominator of the fraction must equal 0:

1 - A = 0

Solving these two equations for A and B gives us A = 1 and B = 2.