Question

Evaluate each of the following, if it exists: let g(x) = x if x < 1, 2 if x = 1, 2 - x² if 1 < x ≤ 2, x - 5 if x > 2. (a) g(0)

Answer 1

The value of g(0) is 0.

Step-by-step explanation:

The function g(x) is defined as follows:

g(x) = x if x < 1

2 if x = 1

2 - x² if 1 < x ≤ 2

x - 5 if x > 2

To evaluate g(0), we need to find the value of g(x) when x = 0. From the definition of the function, g(x) = x if x < 1. Since 0 is less than 1, g(0) = 0.