Question

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

Answer 1

A

Explanation:

Domain - x ≥
`- (3)/(4)`

Range - x ≥ -5

3x + 4 ≥ 0

4 ≥ 0

We get second option

Answer 2

A

The domain is
`x\ge -(4)/(3)`

The range is
`y\ge -5`

Explanation:

Consider the parent function
`y=√(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√(3x+4)-5,`

the domain is

`3x+4\ge 0\\ \\3x\ge -4\\ \\x\ge -(4)/(3)`

the range is

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