Find the domain of the function. (Enter your answer using interval notation.)
f(t) = 

t + 7


The function given is:

\[
f(t) = t + 7
\]

This is a linear function, meaning it is defined for all real values of \( t \). There are no restrictions on the values \( t \) can take, as there are no denominators, square roots, or logarithmic expressions in the function that could limit the domain.

Therefore, the domain of \( f(t) \) is all real numbers, which in interval notation is:

\[
\boxed{(-\infty, \infty)}
\]

Would you like a more detailed explanation of how to handle domains of different types of functions?

Here are some related questions for practice:
1. What is the domain of \( f(t) = \frac{1}{t} \)?
2. How do you determine the domain of a square root function?
3. What is the domain of \( f(t) = \ln(t) \)?
4. Can you explain the domain of \( f(t) = \sqrt{t-3} \)?
5. What is the domain of \( f(t) = \frac{t^2 - 1}{t - 2} \)?

**Tip**: Always check for restrictions such as division by zero or negative numbers inside square roots when determining a function's domain.

Find the domain of the function. (Enter your answer using interval notation.) f(t) = t + 7

Learn how to find the domain of the linear function f(t) = t + 7. This problem explores algebraic concepts related to the domain of functions, focusing on the behavior of linear equations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation