Question

Consider the following functions.

f = {(2,-2), (4, -3), (1, -2)} and g = {(1,2), (-4,2), (-1, 1)}
Step 2 of 4: Find (f - g)(1).

Answer 1

For the functions f and g, the value of (f - g)(1) is calculated by finding the values of f(1) and g(1), and then subtracting g(1) from f(1), resulting in -4.

Step-by-step explanation:

The student has asked to find the value of (f - g)(1), where f and g are functions given by f = {(2,-2), (4, -3), (1, -2)} and g = {(1,2), (-4,2), (-1, 1)}. First, we need to determine the values of f(1) and g(1). From the set, we can see that f(1) = -2 and g(1) = 2. The operation (f - g)(1) means we subtract the value of g(1) from f(1), so we calculate:

(f - g)(1) = f(1) - g(1) = -2 - 2 = -4.