Identify whether the following expressions are rational functions, rational equations or rational inequality. 1/x = 7x-9/2x + 4
*
1 point
rational function
rational equation
rational inequality

The given expression is:

\[
\frac{1}{x} = \frac{7x - 9}{2x + 4}
\]

This is an equation because it has an equality sign ("="). Additionally, the left side and right side of the equation are both ratios of polynomials (rational expressions).

Since it is an equation involving rational expressions, it is classified as a **rational equation**.

**Answer:** Rational equation

Would you like to know more details about this or have any other questions?

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Here are 5 related questions:

1. What distinguishes a rational function from a rational equation?
2. How do you solve a rational equation like the one provided?
3. What are the conditions for a rational expression to be undefined?
4. How do you determine if a rational equation has extraneous solutions?
5. Can rational inequalities be solved similarly to rational equations?

**Tip:** When solving rational equations, always check for extraneous solutions by substituting them back into the original equation.

Learn about rational equations with a detailed explanation of the equation 1/x = (7x - 9) / (2x + 4). Understand the concepts of rational functions and equations. Suitable for high school students studying algebra and rational expressions.

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