Question

Let f (x) = 32 + 2 and g(x) = 4x. What is (f·g) (3)?

Answer 1

The product of f(x) = 32 + 2 and g(x) = 4x at x = 3 is calculated by first evaluating f(3) and g(3) and then multiplying the results, leading to (f·g)(3) = 408.

Step-by-step explanation:

Finding the Product of Two Functions at a Given Point

The student is tasked with finding the product of the functions f(x) and g(x) evaluated at the point x = 3. The functions provided are f(x) = 32 + 2 and g(x) = 4x. To find (f·g)(3), we first evaluate each function separately at x = 3 and then multiply the results.

1. Calculate f(3): f(3) = 32 + 2 = 34.
2. Calculate g(3): g(3) = 4 × 3 = 12.
3. Multiply f(3) and g(3): (f·g)(3) = 34 × 12 = 408.

The value of (f·g)(3) is 408.