Question

Which expression is equivalent to (f∘g)(5)?

A. f(5)×g(5)
B. f(5)∘g(5)
C. 5 × f(5)
D. 5 × g(5)

Answer 1

The expression (f∘g)(5) is equivalent to f(g(5)). The correct expression is B. f(5)∘g(5).

Step-by-step explanation:

The expression (f∘g)(5) represents the composition of two functions, f and g, evaluated at the input value of 5. To find the value of (f∘g)(5), we need to evaluate g(5) first, and then evaluate f at the result of g(5). So the expression (f∘g)(5) is equivalent to f(g(5)).

Therefore, the correct expression that is equivalent to (f∘g)(5) is option B. f(5)∘g(5).

An example of how combination of functions works with exponents (though not directly related to function composition) is:

Consider (53)4 as (5 \u00d7 5 \u00d7 5)4 = (5x5x5)\u00d7(5\u00d7x5)\u00d7(5\u00d7x5)\u00d7(5\u00d7x5), which results in 12 fives multiplied together, which is equivalent to 512. This demonstrates how we effectively multiply the two exponents 3 and 4 to get the 12 as a result.