Chapter 2: Q. 87 (page 70)

If $f (x) = \frac{2 x - A}{x - 3}$ and $f (4) = 0$ , what is the value of $A$ ? Where is $f$ not defined?

Short Answer

Expert verified

The value of $A = 8$ and at $x = 3$ function is not defined.

Step by step solution

Step 1. Given Information

If $f (x) = \frac{2 x - A}{x - 3}$ and $f (4) = 0$

We have to find the value of $A$ and where is $f$ not defined.

Step 2. To find the value of A we firstly find the f(4) by putting x=4 in the given function.

$f (4) = \frac{2 \times 4 - A}{4 - 3} f (4) = \frac{8 - A}{1} f (4) = 8 - A$

Step 3. Now the function is f(4)=8-A.We know f(4)=0 so we put the value of f(4) in the function.

$0 = 8 - A$

Subtract 8 on both side

$0 - 8 = 8 - A - 8 - 8 = - A - A = - 8$

Multiply with $- 1$ on both side

$- A \times (- 1) = - 8 \times (- 1) A = 8$

Step 4. To find, where is f is not defined, we put denominator of function equal to zero.

$x - 3 = 0$

Add 3 on both side

$x - 3 + 3 = 0 + 3 x = 3$

At $x = 3$ the function is not defined.

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If $f (x) = \frac{2 x - A}{x - 3}$ and $f (4) = 0$ , what is the value of $A$ ? Where is $f$ not defined?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find the value of A we firstly find the f(4) by putting x=4 in the given function.

Step 3. Now the function is f(4)=8-A.We know f(4)=0 so we put the value of f(4) in the function.

Step 4. To find, where is f is not defined, we put denominator of function equal to zero.

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If f(x)=2x-Ax-3and f(4)=0, what is the value of A? Where is fnot defined?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find the value of A we firstly find the f(4) by putting x=4 in the given function.

Step 3. Now the function is f(4)=8-A.We know f(4)=0 so we put the value of f(4) in the function.

Step 4. To find, where is f is not defined, we put denominator of function equal to zero.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

If $f (x) = \frac{2 x - A}{x - 3}$ and $f (4) = 0$ , what is the value of $A$ ? Where is $f$ not defined?