Question

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

Answer 1

√(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