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17 March, 21:07

What are the domain and range of the function?

y=2√3x+4-5

A. x ≥ - 4/3; y ≥ - 5

B. x ≥ 4/3; y ≥ - 5

C. x ≤ - 4/3; y ≤ - 5

D. x ≥ - 4/3; y ≤ - 5

+5
Answers (1)
  1. 17 March, 21:34
    0
    √ (3x+4) ≥0 (otherwise it becomes imaginary)

    3x+4≥0

    3x≥-4

    x≥-4/3

    Y=2 (0) - 5 (it's the lowest x value, and that means it will limit y)

    Y=-5

    As x can be > - 4/3, let's try for another Y value

    Y=2√ (3 (5/3) + 4) - 5

    Y=2√9-5

    Y=6-5

    Y=1

    1>-5

    So, Y≥-5

    Answer is A
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