Let f(x) = 3x² + x − 3 and g(x) = x² − 5x + 1. Find f(x) − g(x).

The relationship between independent and dependent variable is defined by the function. It is denoted by f(x).

Answer: The value of f(x) - g(x) is 2x² + 6x − 4.

Let's find f(x) − g(x).

Explanation:

We know that (f - g)(x) = f(x) - g(x).

The domain of f(x) - g(x) consists of the numbers x that are in the domain of f and the domain of g.

⇒ f(x) - g(x) = (3x² + x − 3) - (x² − 5x + 1)

⇒ f(x) - g(x) = 3x² + x − 3 -  x² + 5x - 1

⇒ f (x) - g (x) = 2x² + 6x − 4

Thus, f(x) - g(x) is 2x² + 6x − 4.