Question
What are the domain and range of the function y=2V3x+4-5?
(1 point)
• x≥
yZ-5
4
• 1≥
-; y2-5
3
ミツーS
-5：≥
(1 point)
• x≥
yZ-5
4
• 1≥
-; y2-5
3
ミツーS
-5：≥
Answers
GPT 3.5
The domain of the function y=2√(3x+4)-5 is all real numbers x such that 3x+4 is non-negative (since the square root of a negative number is not real). This means that 3x+4 must be greater than or equal to 0, so x≥-4/3.
The range of the function is all real numbers y such that y is greater than or equal to -5, since the minimum value of the function is -5 when x is at the minimum value of -4/3. Therefore, y≥-5 is the range of the function.
The range of the function is all real numbers y such that y is greater than or equal to -5, since the minimum value of the function is -5 when x is at the minimum value of -4/3. Therefore, y≥-5 is the range of the function.