Find the Domain of the Function $f ( x ) = 6 - \frac { 4 } { x }$

question 169

Short Answer

Find the domain of the function.
- $f ( x ) = 6 - \frac { 4 } { x }$
A) $\{ x \mid x > 6 \} \text {, or } ( 6 , \infty )$
B) $\{ x \mid x < 4 \} \text {, or } ( - \infty , 4 )$
C) all real numbers, or $( - \infty , \infty )$
D) $\{ x \mid x \neq 0 \} \text {, or } ( - \infty , 0 ) \cup ( 0 , \infty )$

• A) \(\{ x \mid x > 6 \} \text {, or } ( 6 , \infty )\)
• B) \(\{ x \mid x < 4 \} \text {, or } ( - \infty , 4 )\)
• C) all real numbers, or \(( - \infty , \infty )\)
• D) \(\{ x \mid x \neq 0 \} \text {, or } ( - \infty , 0 ) \cup ( 0 , \infty )\)

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Definitions:

Type II Error

A statistical error that occurs when a false null hypothesis is not rejected, also known as a "false negative" finding.

Null Hypothesis

The null hypothesis is a statement in hypothesis testing that there is no effect or no difference, and it serves as a default position until evidence suggests otherwise.

Alternative Hypothesis

A hypothesis that proposes there is a statistically significant difference between two variables, contrasting with the null hypothesis.

Average Amount

The sum of numerical values divided by the count of values, providing a central or typical value for a dataset.