Questions: Find the domain of the function. f(x)=-5x+1 The domain is (Type your answer in interval notation.)

Find the domain of the function.
f(x)=-5x+1

The domain is (Type your answer in interval notation.)
Transcript text: MyLad MATH 101 Online Fall 2024 Test: Test 2 (Ch 3 \& 5) Question list Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Find the domain of the function. \[ f(x)=-5 x+1 \] The domain is $\square$ (Type your answer in interval notation.)
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Solution

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Solution Steps

To find the domain of the function \( f(x) = -5x + 1 \), we need to determine the set of all possible input values (x-values) for which the function is defined. Since this is a linear function, it is defined for all real numbers.

Step 1: Identify the Function

The given function is \( f(x) = -5x + 1 \). This is a linear function.

Step 2: Determine the Domain

For linear functions, the domain is typically all real numbers since there are no restrictions on the values that \( x \) can take. Therefore, the domain of \( f(x) \) is \( \mathbb{R} \).

Step 3: Express the Domain in Interval Notation

In interval notation, the domain of the function can be expressed as \( (-\infty, \infty) \).

Final Answer

The domain is \( \boxed{(-\infty, \infty)} \).

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