Perform the requested operation on the given function.
-$$f ( x ) = \sqrt { 2 x + 3 } , g ( x ) = \sqrt { 4 x - 25 }$$
Find $( f g ) ( x )$.
A) $( 2 x - 5 ) ( \sqrt { 2 x + 3 } )$
B) $( 2 x + 3 ) ( 4 x - 25 )$
C) $( 2 x + 3 ) ( 2 x - 5 )$
D) $( \sqrt { 2 x + 3 } ) ( \sqrt { 4 x - 25 } )$

Question

Quizplus · Accepted Answer

The operation $( f g ) ( x )$ means to multiply the functions $f(x)$ and $g(x)$ together. Therefore, $( f g ) ( x ) = f(x) \cdot g(x) = \sqrt { 2 x + 3 } \cdot \sqrt { 4 x - 25 }$, which matches option D.

Perform the Requested Operation on the Given Function f(x)=2x+3,g(x)=4x−25f ( x ) = \sqrt { 2 x + 3 } , g ( x ) = \sqrt { 4 x - 25 }f(x)=2x+3​,g(x)=4x−25​

Perform the Requested Operation on the Given Function $f ( x ) = \sqrt { 2 x + 3 } , g ( x ) = \sqrt { 4 x - 25 }$