The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 2x2 + x − 3 and g(x) = x − 1. Find f(x) • g(x).

Question

The domain for f(x) and g(x) is the set of all real numbers.

Let f(x) = 2x² + x − 3 and g(x) = x − 1.

Find f(x) • g(x).

Answer 1

Just multiply the two functions. You can usea a variety of ways. I like the "order" that comes with using a generic rectangle:

Then just combine like-terms to get

2x^3 - x² - 4x + 3