Which expression is equivalent to $(f g)(5)$?
A. $f(5) \times g(5)$
B. $f(5)+g(5)$
C. 5 f(5)
D. $5 g(5)$
Answer (1)
To determine which expression is equivalent to ( f g ) ( 5 ) , let's understand what ( f g ) ( x ) means in mathematics.
( f g ) ( x ) represents the product of two functions f ( x ) and g ( x ) at the value of x . In function notation, the product of two functions f and g is expressed as ( f × g ) ( x ) = f ( x ) ⋅ g ( x ) .
Therefore, when we evaluate this at x = 5 , we have:
( f g ) ( 5 ) = f ( 5 ) ⋅ g ( 5 )
This matches option A. So, the expression that is equivalent to ( f g ) ( 5 ) is:
A. f ( 5 ) × g ( 5 )
