Question

50 POINTS!!!!! What is the domain and range of the function in photo

Answer 1

Answer:

A

The domain is $x\ge -\dfrac{4}{3}$

The range is $y\ge -5$

Step-by-step explanation:

Consider the parent function $y=\sqrt{x}.$

The domain of this function is $x\ge 0,$ the range of this function is $y\ge 0.$

Thus, for the function $y=2\sqrt{3x+4}-5,$

the domain is

$3x+4\ge 0\\ \\3x\ge -4\\ \\x\ge -\dfrac{4}{3}$

the range is

$y\ge 2\cdot 0-5\\ \\y\ge -5$