Question

The function g(x) is defined as shown.

What is the value of g(3)?

a. 2
b. 3
c. 9
d. 14

Answer 1

g(x)=6-x when x≥3 so

g(3)=6-3

g(3)=3

Answer 2

The required value of g(3) = 3

Explanation:

The function g(x) has been defined as shown in the figure

Now we need to find the find the value of the given function g(x) at x = 3

Now, first find the the expression for the function g(x) when x = 3

So, The required expression is :

When x ≥ 3, g(x) = 6 - x

Now, substitution x = 3 in g(x) = 6 - x

⇒ g(3) = 6 - 3

⇒ g(3) = 3

Thus, The required value of g(3) = 3