Questions: Find the domain of the function.
f(x)=-5x+1
The domain is (Type your answer in interval notation.)
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MATH 101 Online Fall 2024
Test: Test 2 (Ch 3 \& 5)
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Find the domain of the function.
\[
f(x)=-5 x+1
\]
The domain is $\square$ (Type your answer in interval notation.)
Solution
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 \( (-\infty, \infty) \).