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

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b