Chapter 9: Q50. (page 478)

For what values of $x$ is the expression $\frac{4 x}{x^{2} - x}$ undefined.
localid="1648471683435" $(A) - 1, 1 (B) - 1, 0, 1 (C) 0, 1 (D) 0 (E) 1, 2$

Short Answer

Expert verified

The expression is undefined for $x = 0, 1$ . So, option (C) is correct.

Step by step solution

Step 1. Write down the given information.

The given expression is $\frac{4 x}{x^{2} - x}$ .

Step 2. Concept used.

The expression will be undefined for which the denominator of the given expression will be equal to zero.

Step 3. Calculation.

The given expression $\frac{4 x}{x^{2} - x}$ has denominator $x^{2} - x$ . Therefore, equating $x^{2} - x = 0$ gives,

$\begin{array}{l} x^{2} - x = 0 \\ x (x - 1) = 0 \\ x = 0 or x - 1 = 0 \\ x = 0 or x = 1 \\ x = \{0, 1\} \\ x = 0, 1 \end{array}$

Since the expression is undefined for $x = 0, 1$ . So, option (C) is correct.

Step 4. Conclusion.

The expression is undefined for $x = 0, 1$ . So, option (C) is correct.

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For what values of $x$ is the expression $\frac{4 x}{x^{2} - x}$ undefined.
localid="1648471683435" $(A) - 1, 1 (B) - 1, 0, 1 (C) 0, 1 (D) 0 (E) 1, 2$

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

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For what values of xis the expression 4xx2-x undefined.localid="1648471683435" A-1,1B-1,0,1C0,1D0E1,2

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Decision Maths

Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

For what values of $x$ is the expression $\frac{4 x}{x^{2} - x}$ undefined.
localid="1648471683435" $(A) - 1, 1 (B) - 1, 0, 1 (C) 0, 1 (D) 0 (E) 1, 2$