Questions: Write the domain set for this function f(x)=1 (x^3-3 x^2-6 x-8)

Write the domain set for this function f(x)=1 (x^3-3 x^2-6 x-8)
Transcript text: Write the domain set for this function $f(x)=1$ \[ \left(x^{3}-3 x^{2}-6 x-8\right) \]
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Solution

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Solution Steps

Step 1: Define the Function

We start with the function \( f(x) = 1 \left( x^3 - 3x^2 - 6x - 8 \right) \).

Step 2: Identify the Type of Function

The function \( f(x) \) is a polynomial of degree 3, which is expressed as \( x^3 - 3x^2 - 6x - 8 \).

Step 3: Determine the Domain

Since polynomial functions are defined for all real numbers, the domain of \( f(x) \) is \( \mathbb{R} \). Thus, we can express the domain as \( \text{Domain} = \{ x \in \mathbb{R} \} \).

Final Answer

\(\boxed{\text{Domain} = \{ x \in \mathbb{R} \}}\)

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