What is the domain of the function f(x) = 3|x + 4| + 1? all real numbers all real numbers less than or equal to −4 all real numbers greater than or equal to 1 all real numbers greater than or equal to −4

The correct option is A.

Step-by-step explanation:

The vertex form of an absolute function is

Where, (h,k) is vertex.

Domain is the set of input values.

The given function is

It is the vertex from of an absolute function. Here h=-4 and k=1, so the vertex of the function is (-4,1).

These functions are defined for all real values of x. So, the domain of the given absolute function is all real numbers

Therefore the correct option is A.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!