Question

Select the correct answer from each drop-down menu. If f(x) = 0.522x - 2 and g(5) = 823 + 2, find the value of the following function: (9.5)(____).

a) (f)

b) (g)

c) (x)

d) (r^2)

Answer 1

The value of the function (9.5)(____) using the provided f(x) is 2.959, and the correct drop-down menu choice is (f).

Step-by-step explanation:

To find the value of the function, let's substitute the given value of x into the function. Based on the information provided, we know that g(5) is equal to 823 + 2. The question asks us to determine the value of the function (9.5)(____) given other functions f(x) and g(x). First, notice that g(5) = 823 + 2 is a separate and irrelevant function for this specific task. Instead, focus on f(x) = 0.522x - 2. To find (9.5)(f), we replace x with 9.5 in the function f(x):

f(9.5) = 0.522(9.5) - 2 = 4.959 - 2 = 2.959.

Therefore, the correct answer from the drop-down menu is (f), and (9.5)(f) equals 2.959.