To determine which expression is equivalent to [tex]\((fg)(5)\)[/tex], let's break down what [tex]\((fg)(x)\)[/tex] means in the context of functions.
When you see the notation [tex]\((fg)(x)\)[/tex], it typically refers to the product of the values of two functions evaluated at the same input [tex]\(x\)[/tex]. Hence, [tex]\((fg)(x)\)[/tex] is calculated as:
[tex]\[ (fg)(x) = f(x) \times g(x) \][/tex]
Applying this to the specific case in the question where [tex]\(x = 5\)[/tex]:
[tex]\[ (fg)(5) = f(5) \times g(5) \][/tex]
So, the expression that is equivalent to [tex]\((fg)(5)\)[/tex] is:
[tex]\[ f(5) \times g(5) \][/tex]
Thus, the correct expression equivalent to [tex]\((fg)(5)\)[/tex] is:
[tex]\[ f(5) \times g(5) \][/tex]
Therefore, the answer is:
[tex]\[ f(5) \times g(5) \][/tex]
