Find the Linearization L(x) of F(x) at X = A $f ( x ) = x + \frac { 1 } { x } , a = 3$

question 100

Multiple Choice

Find the linearization L(x) of f(x) at x = a.
- $f ( x ) = x + \frac { 1 } { x } , a = 3$

• A) \(L ( x ) = \frac { 10 } { 9 } x + \frac { 2 } { 3 }\)
• B) \(L ( x ) = \frac { 8 } { 9 } x + \frac { 1 } { 2 }\)
• C) \( L ( x ) = \frac { 10 } { 9 } x + \frac { 1 } { 2 }\)
• D) \(L ( x ) = \frac { 8 } { 9 } x + \frac { 2 } { 3 }\)

---

Definitions:

Crime Area

A geographical area known for a higher incidence of criminal activity compared to surrounding regions.

Means

Statistical measures that represent the central point or average value of a dataset.

Marginal Means

The mean values of a variable across different levels of another variable, often used in the analysis of variance.

Main Effect

The direct influence of an independent variable on a dependent variable in an experimental study, ignoring the effects of other variables.