Question

A function g(x) is defined as shown.

2 + 3x, 0 < x < 4
Q(x) = 0.5x + 10, 4 AKB
| 16, KEB
What is the value of g(4)?

10
12
14
16​

Answer 1

g(4) = 12

Explanation:

We need to find the value the function g(x) when x = 4, that is;

g(4)

In the first definition of the function, the value of x is strictly less than 4. Consequently, we shall use the second definition of the function to evaluate g(4)

In the second definition, g(x) is given as;

Q(x) = 0.5x + 10

plug in x = 4 and simplify;

Q(4) = 0.5(4) + 10

Q(4) = 12