Find ( Fg )(X) $f ( x ) = \sqrt { 3 x } \quad g ( x ) = \sqrt { 5 x + 7 }$

question 42

Multiple Choice

Find ( fg ) (x) . $f ( x ) = \sqrt { 3 x } \quad g ( x ) = \sqrt { 5 x + 7 }$

• A) \(( f g ) ( x ) = \sqrt { 8 x + 7 }\)
• B) \(( f g ) ( x ) = \sqrt { 15 x ^ { 2 } + 7 }\)
• C) \(( f g ) ( x ) = \sqrt { 15 x ^ { 2 } + 21 x }\)
• D) \(( f g ) ( x ) = x \sqrt { 15 } + \sqrt { 21 x }\)
• E) \(( f g ) ( x ) = x \sqrt { 15 + 21 x }\)

---

Definitions:

Graduate School

A specialized institute offering advanced education and research opportunities, typically leading to master's or doctoral degrees.

Women Psychologists

Female professionals in the field of psychology who study and apply knowledge about human behavior and mental processes.

Male Students

Male students are individuals of the male gender enrolled in educational institutions for the purpose of learning and obtaining academic credentials.

Introspection

Investigating and understanding one's personal emotional and mental states.