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

√ (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