https://file.aiquickdraw.com/mathbot/file/17282589718798q1jpd5n.jpg

The function given in the image is:

\[
f(x) = -7x + 5
\]

This is a linear function, and linear functions are defined for all real values of \( x \). Since there are no restrictions such as division by zero or taking the square root of a negative number, the domain of this function is all real numbers.

In interval notation, the domain is:

\[
(-\infty, \infty)
\]

Would you like any further details or have any questions?

Here are 5 related questions to expand your understanding:
1. What is the range of a linear function like \( f(x) = -7x + 5 \)?
2. How would the domain change if the function were \( f(x) = \frac{1}{x} \)?
3. Can a linear function ever have a restricted domain? Under what conditions?
4. How does the slope of the function \( -7x \) affect its graph?
5. What is the x-intercept of the function \( f(x) = -7x + 5 \)?

**Tip:** Always remember that linear functions have an unrestricted domain, but if you encounter square roots or denominators, check for restrictions.

Find the domain of the function f(x) = -7x + 5.

Learn how to find the domain of the linear function f(x) = -7x + 5. This problem demonstrates key algebraic concepts related to linear functions, including the domain and properties of such functions. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation