What is the domain of the function y 3 squareroot 6x 42 X

What is the domain of the function y = 3 squareroot 6x + 42? X GE 0 x LE 7 x GE - 6 xGE - 7 What are the domain and range of the function y = 2 squareroot 3x + 4 - 5? x GE - 4/3; y GE - 5 x GE 4/3; y GE - 5 x LE - 4/3; y LE - 5 x GE - 4/3; y GE - 5

Solution

5. y = 3sqrt(6x +42)

6x+42 >=0

x>= -7

Domain : x>=-7

6. y = 2sqrt(3x+4) -5

3x+4>=0

x>=-4/3

at x= -4/3 ;y = 2sqrt(0) -5

So, y>= -5

Option a