Find the Range of the Function $f ( x ) = \frac { 4 x } { x - 2 }$

question 22

Multiple Choice

Find the range of the function $f ( x ) = \frac { 4 x } { x - 2 }$ by finding the domain of $f ^ { - 1 } ( x )$ .

• A) \(\quad ( - \infty , 2 ) \cup ( 2 , \infty )\)
• B) \(\quad ( - \infty , 4 ) \cup ( 4 , \infty )\)
• C) \(\quad ( - \infty , \infty )\)
• D) \(\quad ( - \infty , 0 ) \cup ( 0 , \infty )\)
• E) \(\quad ( 0 , \infty )\)

---

Definitions:

Eye Protection

A safety measure that involves wearing goggles or shields to protect the eyes from hazardous materials, debris, or light rays.

Hacksaws

A type of saw with a fine-toothed blade under tension in a frame, used primarily for cutting metal.

Center Punch

A tool with a pointed end used for making indentations in materials such as metal or wood, usually as a guide for drilling.

Diamond Point

A type of sharp-pointed tool tip, often used for precision work or engraving, characterized by its extremely hard material, typically diamond.