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

my answer got deleted but it's a

step-by-step explanation: