Questions: Find the domain of the function. f(x)=-3x+2 The domain is (Type your answer in interval notation.)

Find the domain of the function. f(x)=-3x+2 The domain is (Type your answer in interval notation.)
Transcript text: Find the domain of the function. \[ f(x)=-3 x+2 \] The domain is $\square$ (Type your answer in interval notation.)
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Solution

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Solution Steps

Step 1: Understanding the Problem

Given a polynomial function of degree \(n\), \(f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0\), where \(a_n, a_{n-1}, \ldots, a_1, a_0\) are real number coefficients, we are asked to find the domain of this function.

Step 2: Identifying the Domain of a Polynomial Function

Polynomial functions are defined for all real numbers, meaning there are no restrictions on the input values \(x\) that can be substituted into the polynomial function. This is because there are no operations within \(f(x)\) that could restrict its domain, such as division by a polynomial that could be zero for some \(x\) values, or square roots of expressions that must be non-negative.

Final Answer:

The domain of the given polynomial function is (-∞, ∞), which means it is defined for all real numbers.

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