Question

What is the value of (f•g)(3) when f(x) = 3.22 – 2x + 5 and g(x) = 2x – 3?

A) 13.44
B) 15.44
C) 17.44
D) 19.44

Answer 1

The correct value of (f•g)(3) is determined by evaluating f(3) and g(3) and then multiplying the results, which gives us a value of 6.66. The options provided in the question are incorrect.

Step-by-step explanation:

The question asks to find the value of (f•g)(3) when f(x) = 3.22 – 2x + 5 and g(x) = 2x – 3. To find this, we first need to evaluate both functions at x = 3 and then multiply the results.

1. Evaluate f(3): f(3) = 3.22 - 2(3) + 5 = 3.22 - 6 + 5 = 2.22.
2. Evaluate g(3): g(3) = 2(3) - 3 = 6 - 3 = 3.
3. Multiply the results: (f•g)(3) = f(3) • g(3) = 2.22 • 3 = 6.66.

Thus, none of the given options A, B, C, or D is correct. The correct value of (f•g)(3) is 6.66.