For the Pair of Functions, Find the Indicated Sum, Difference $$f ( x ) = \sqrt { 8 x - 4 } , g ( x ) = \frac { 1 } { x }$$

question 190

Multiple Choice

For the pair of functions, find the indicated sum, difference, product, or quotient.
- $$f ( x ) = \sqrt { 8 x - 4 } , g ( x ) = \frac { 1 } { x }$$
Find $( f - g ) ( x )$ .

• A) \(\frac { 1 } { \sqrt { 8 x - 4 } - x }\)
• B) \(\sqrt { 8 x - 4 } - \frac { 1 } { x }\)
• C) \(\frac { 1 } { x } - \sqrt { 8 x - 4 }\)
• D) \(\sqrt { 8 x - 4 - \frac { 1 } { x } }\)

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Definitions:

Common Hepatic Duct

Part of the biliary duct system formed by the joining of the right and left hepatic ducts.

Bile Canaliculi

Small ducts between the liver cells that collect bile, contributing to its transport towards the bile ducts.

Cystic Duct

Duct leading from the gallbladder; joins the common hepatic duct to form the common bile duct.

Pylorus

The portion of the stomach that connects to the duodenum; it regulates the passage of partially digested food into the small intestine.