Question

If f(x) = sin(x) and g(x) = x, what is the value of f(2) * g(2)?

a) sin(2)
b) 2sin(2)
c) 2
d) sin(4)

Answer 1

To find the value of f(2) * g(2) for f(x) = sin(x) and g(x) = x, we calculate f(2) as sin(2) and g(2) as 2, and multiply them to get the final answer, 2sin(2).

Step-by-step explanation:

The question asks us to evaluate the expression f(2) * g(2) when f(x) = sin(x) and g(x) = x. To solve this, we will find the values of f(2) and g(2) separately, then multiply the results together.

For f(2), we substitute x with 2 in f(x) = sin(x), which gives us f(2) = sin(2). For g(2), we substitute x with 2 in g(x) = x, resulting in g(2) = 2. Multiplying these values together gives us the result:f(2) * g(2) = sin(2) * 2.Hence, the final answer is 2sin(2), which corresponds to option b).The value of f(2) * g(2) can be found by evaluating f(2), which is sin(2), and g(2), which is 2. Multiplying these values together gives us sin(2) * 2. Therefore, the value of f(2) * g(2) is 2sin(2).