Question

Which expression is equivalent to mc003-1.jpg?

Answer 1

Answer:

Option A is correct

The expression which is equivalent to $(f\cdot g)(5)$ is $f(5) \cdot g(5)$

Step-by-step explanation:

Using the formula:

$(f \cdot g)(x) = f(x) \cdot g(x)$                  .....[1]

Given the expression:

$(f\cdot g)(5)$

Substitute the value of x = 5 in [1]

we get;

$(f \cdot g)(5) = f(5) \cdot g(5)$

Therefore, the expression which is equivalent to $(f\cdot g)(5)$ is $f(5) \cdot g(5)$

Answer 2

Given two functions f(x) and g(x), when you multiply the two functions, according to algebra:
f(x)*g(x)
=(fg)(x)
hence when x=5
then
f(5)*g(5)
=(fg)(5)
therefore, the answer to 
(fg)(5)
=f(5)*g(5)