The value of g(3) is 3 ⇒ 2nd answer
Step-by-step explanation:
The function g(x) = x - 1 -2 ≤ x < -1
= 2x + 3 -1 ≤ x < 3
= 6 - x x ≥ 3
That means g(x) has different domains, so the graph of the function
has 3 lines linked together
1. The line g(x) = x - 1 when the domain is -2 ≤ x < -1
2. The line g(x) = 2x + 3 when the domain is -1 ≤ x < 3
3. The line g(3) = 6 - x when the domain is x ≥ 3
We need to find g(3)
∵ x = 3
- We must to use the line which has the domain contains 3
∴ We will use g(x) = 6 - x because the domain is x ≥ 3 (The domain
contains x = 3)
- Substitute x by 3
∴ g(3) = 6 - 3 = 3
The value of g(3) is 3
Learn more:
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