If f(x) = 3x² + 1 and g(x) = 1 - x. What is the value of (f - g)(2)?

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

Answer: If f(x) = 3x² + 1 and g(x) = 1 - x, the value of (f - g)(2) is 14

Let's find the value of (f - g)(2).

Exaplanation:

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

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

Given functions are f(x) = 3x² + 1 and g(x) = 1 - x 

f(x) - g(x) = (3x² + 1) - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x

Thus, (f - g)(x) = (3x² + x)

To find the value of (f - g)(2), we put x = 2

(f - g)(2) = [3(2)² + (2)]

= [12 + 2]

= 14

Thus, the value of (f - g)(x) is 14 for the given functions f(x) = 3x² + 1 and g(x) = 1 - x.