The function g(x) is defined as shown.g (x) = StartLayout Enlarged left-brace 1st Row 1st column x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than negative 1 2nd row 1st column 2 x + 3, 2nd column negative 1 less-than-or-equal-to x less-than 3 3rd row 1st column 6 minus x, 2nd column x greater-than-or-equal-to 3What is the value of g(3)?23914
Accepted Solution
A:
The value of g(3) is 3 ⇒ 2nd answerStep-by-step explanation:The function g(x) = x - 1 -2 ≤ x < -1 = 2x + 3 -1 ≤ x < 3 = 6 - x x ≥ 3That means g(x) has different domains, so the graph of the function has 3 lines linked together1. The line g(x) = x - 1 when the domain is -2 ≤ x < -12. The line g(x) = 2x + 3 when the domain is -1 ≤ x < 33. The line g(3) = 6 - x when the domain is x ≥ 3We 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 = 3The value of g(3) is 3Learn more:You can learn more about functions in brainly.com/question/9590016brainly.com/question/9607945brainly.com/question/10570041#LearnwithBrainly