Given the Polynomial Functions, Find the Product Function and the Specified

question 67

Multiple Choice

Given the polynomial functions, find the product function and the specified value.
-Let $f ( x ) = x + 6$ and $g ( x ) = x - 11$ . Find $( f g ) ( x )$ and $( f g ) ( 2 )$ .

• A) \(( f g ) ( x ) = x ^ { 2 } - 5 x - 66 ; ( f g ) ( 2 ) = - 72\)
• B) \(( f g ) ( x ) = x ^ { 2 } + 5 x - 66 ; ( f g ) ( 2 ) = - 52\)
• C) \(( \mathrm { fg } ) ( \mathrm { x } ) = \mathrm { x } ^ { 2 } + 17 \mathrm { x } + 66 ; ( \mathrm { fg } ) ( 2 ) = 104\)
• D) \(( \mathrm { fg } ) ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 5 \mathrm { x } + 66 ; ( \mathrm { fg } ) ( 2 ) = 60\)

---

Definitions:

Denial Of Service

An attack that aims to make a computer or network resource unavailable to its intended users by temporarily or indefinitely disrupting services of a host connected to the internet.

Logic Bomb

A piece of code intentionally set to execute a malicious function when specified conditions are met.

Time Bomb

A type of malware that remains inactive until a specific time or event triggers its activation, causing harm to the computer system.

Worm

A program that attempts to travel between systems through network connections to spread infections. Worms can run independently of host file execution and are active in spreading themselves.