Chapter 2: Q. 88 (page 70)

If $f (x) = \frac{x - B}{x - A}$ , $f (2) = 0$ and $f (1)$ is undefined, what is the value of $A and B$ ?

Short Answer

Expert verified

The value of $B = - 2$ and the value of role="math" localid="1646307476177" $A = - 1$ .

Step by step solution

Step 1. Given Information

If $f (x) = \frac{x - B}{x - A}$ , $f (2) = 0$ and $f (1)$ is undefined,

We have to find the value of $A and B$ .

Step 2. To find the value of B we firstly find the f(2) by putting x=2 in the given function.

$f (2) = \frac{2 - B}{2 - A}$

Step 3. Now the function is f(2)=2-B2-A.We know f(2)=0 so we put the value of f(2) in the function.

$0 = \frac{2 - B}{2 - A}$

Multiply with $2 - A$ on both side

$0 \times (2 - A) = \frac{2 - B}{2 - A} \times (2 - A) 0 = 2 - B 2 - B = 0$

Add 2 on both side

$2 - B + 2 = 0 + 2 - B = 2$

Multiply with $- 1$ on both side

$- B \times (- 1) = 2 \times (- 1) B = - 2$

Step 4. To find the value of A we firstly find f(1) by putting x=1 on the given function.

$f (1) = \frac{1 - B}{1 - A}$

Since $f (1)$ is not defined so

$1 - A = 0$

Add 1 on both side

$1 - A + 1 = 0 + 1 - A = 1$

Multiply with $- 1$ on both side

$- A \times (- 1) = 1 \times (- 1) A = - 1$

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If $f (x) = \frac{x - B}{x - A}$ , $f (2) = 0$ and $f (1)$ is undefined, what is the value of $A and B$ ?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find the value of B we firstly find the f(2) by putting x=2 in the given function.

Step 3. Now the function is f(2)=2-B2-A.We know f(2)=0 so we put the value of f(2) in the function.

Step 4. To find the value of A we firstly find f(1) by putting x=1 on the given function.

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If f(x)=x-Bx-A, f(2)=0and f(1)is undefined, what is the value of AandB?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find the value of B we firstly find the f(2) by putting x=2 in the given function.

Step 3. Now the function is f(2)=2-B2-A.We know f(2)=0 so we put the value of f(2) in the function.

Step 4. To find the value of A we firstly find f(1) by putting x=1 on the given function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Theoretical and Mathematical Physics

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Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

If $f (x) = \frac{x - B}{x - A}$ , $f (2) = 0$ and $f (1)$ is undefined, what is the value of $A and B$ ?