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Please help me. Please show work.

What are the domain and range of the function y=2 square root 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

Thank You so much.

2 answers

for √ to be defined, we need

3x+4 >= 0
3x >= -4
x >= -4/3

At x = -4/3, y = -5, so for any x >= -4/3, y >= -5

Looks like (A) all right
THANK YOU SO SO SO MUCH!!!!!!!
@Steve is amazing