Since the given function 
f(x) = 
1/4x − 1/7 is linear, its domain is as follows

The given function \( f(x) = \frac{1}{4}x - \frac{1}{7} \) is a linear function. 

For linear functions, the domain is typically all real numbers because they are defined for every value of \( x \).

So, the domain of the function \( f(x) = \frac{1}{4}x - \frac{1}{7} \) is:

\[
\text{Domain} = \mathbb{R} \quad \text{or} \quad (-\infty, \infty)
\]

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Here are 5 related questions:

1. What is the range of the function \( f(x) = \frac{1}{4}x - \frac{1}{7} \)?
2. How do you determine the slope of the function from its equation?
3. What is the y-intercept of the function \( f(x) = \frac{1}{4}x - \frac{1}{7} \)?
4. How would you graph the function \( f(x) = \frac{1}{4}x - \frac{1}{7} \)?
5. Can the domain of a linear function ever be restricted?

**Tip:** The domain of a function refers to all possible input values (x-values) that the function can accept without causing any mathematical issues, such as division by zero or taking the square root of a negative number.

Since the given function f(x) = 1/4x − 1/7 is linear, its domain is as follows

Discover how to determine the domain of the linear function f(x) = (1/4)x - 1/7. Learn key algebraic concepts and theorems, suitable for students in Grades 8-10. Explore related topics such as the range, slope, and graphing of linear functions.

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