Questions: 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.)

Solution

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.