Question

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

Answer 1

all real numbers..................

Answer 2

The correct option is A.

Explanation:

The vertex form of an absolute function is

`g(x)=a|x-h|+k`

Where, (h,k) is vertex.

Domain is the set of input values.

The given function is

`f(x)=3|x+4|+1`

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.