Question

Which expression is equivalent to mc003-1.jpg?

Answer 1

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)

Answer 2

Option A is correct

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

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)`