2. Consider the following functions. m(x)=x^2-1 n(x)=sqrt (x) p(x)=(1)/(x-3) a. Determine (mcirc ncirc p)(12) b. Write the equation for p(m(x)) and determine its domain.

Question

Answer 1

### a.

### b.

; Domain:

Answer 2

## Step 1: Calculate

### We are given

. Substituting

, we get

.## Step 2: Calculate

### We are given

. Substituting

, we get

.## Step 3: Calculate

### We are given

. Substituting

, we get

.## Step 4: Determine

### We are given

and

. Substituting

into

, we get

.## Step 5: Determine the domain of

### The function

is undefined when the denominator is zero.

implies

, so

. Therefore, the domain of

is all real numbers except

and

. In interval notation, the domain is

.

Question