Question

Will mark brainliest ​

Answer 1

Answer:

D

Step-by-step explanation:

The domain must not let 1/3 x + 2 go less than 0. So equate this binomial to  0 and then use the < or > symbol to indicate what the minimum value is.

1/3 x + 2 = 0      Subtract 2 from both sides

1/3 x = - 2          Multiply 3

3(1/3) x = - 2 * 3

x = - 6

So if x is less than - 6 the binomial will go negative and that is not a permitted value at this level.

So x must be - 6 or bigger.

Let's see what happens when x = - 6

1/3 ( - 6) + 2

-2 + 2

0

That's the minimum value for the domain.

Now try - 9

1/3(-9) + 2

- 3 + 2 = -1

That means you will have √-1 which does not exist in the rational world.

Now try x = 9

1/3 (9) + 2

3 + 2 = 5    which is fine.

So the answer you seek is x ≥ -6

Answer 2

Answer:

$x\geq -6$

Step-by-step explanation:

If we graph it, we see that the function exists when $x\geq -6$. Not sure what more I can say.

I hope this helps!