Practice Domain Of Rational Functions (2) - Rational Functions - IB 10 Mathematics – Group 5, Algebra
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Domain of Rational Functions

Practice - Domain of Rational Functions

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

For \( h(x) = \frac{2}{x + 3} \), what is the domain?

💡 Hint: Set the denominator to zero and solve.

Question 2 Easy

Determine the domain for \( f(x) = \frac{x^2 - 1}{x - 4} \).

💡 Hint: Find the value that makes the denominator zero.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the domain of \( f(x) = \frac{2}{x - 1} \)?

All real numbers
All real numbers except 1
Only 1

💡 Hint: Find where the denominator is zero.

Question 2

True or False: The domain of a rational function can include values that make the denominator zero.

True
False

💡 Hint: Recall the definition of a rational function.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Determine the domain of \( q(x) = \frac{x^2 + 1}{x^3 - 8} \).

💡 Hint: Factor the denominator and check where it equals zero.

Challenge 2 Hard

For the function \( r(x) = \frac{x-3}{x^2 + 5x + 6} \), identify the domain.

💡 Hint: Set the denominator to zero and factor to find values.

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