Question

12-Write the domain in interval notation.(a) w(x)= lx+1l+4(b) y(x)= X ➗ lx+1l+4(c) Z(x)= X ➗ lx+1l-4

Answer 1

Step-by-step explanation

Part A

We are told to obtain the domain of the given function:

`w(x)=|x+1|+4`

The domain of a function is the set of all possible inputs for the function.

we can use the graph to obtain the intervals of the domain

Thus, the solution is

The domain will be

The domain will be

`\begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\quad \mathrm{or}\quad \:-53\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\cup \left(-5,\:3\right)\cup \left(3,\:\infty \:\right)\end{bmatrix}`