Answer:
A
The domain is [tex]x\ge -\dfrac{4}{3}[/tex]
The range is [tex]y\ge -5[/tex]
Step-by-step explanation:
Consider the parent function [tex]y=\sqrt{x}.[/tex]
The domain of this function is [tex]x\ge 0,[/tex] the range of this function is [tex]y\ge 0.[/tex]
Thus, for the function [tex]y=2\sqrt{3x+4}-5,[/tex]
the domain is
[tex]3x+4\ge 0\\ \\3x\ge -4\\ \\x\ge -\dfrac{4}{3}[/tex]
the range is
[tex]y\ge 2\cdot 0-5\\ \\y\ge -5[/tex]
