Step 1:

The function is $\"\"$

Consider $\"\"$

Find the inverse function.

$\"\"$

Interchange the variables $\"image\"$ and $\"image\"$ .

$\"\"$

Squaring on each side.

$\"\"$

Above function is in the form $\"\"$ .

The inverse function is $\"\"$ .

Step 2:

The graph of the functions are $\"\"$ and $\"\"$ .

$\"\"$

Step 3:

The function is $\"\"$

The inverse function is $\"\"$ .

Observe the graph, the relationship between functions $\"\"$ and $\"\"$ are symmetric about $\"\"$ .

Step 4:

The function is $\"\"$

The domain of a function is all values of x, those makes the function mathematically correct.

Since there should not be any negative numbers in the square.

The domain of the above function is all non negative real numbers.

Domain of $\"\"$ is $\"image\"$ .

The range of $\"image\"$ is equal to the domain of $\"image\"$ .

The inverse function is $\"\"$ .

Range set is the corresponding values of the function for different values of x.

Since for all non negative real numbers of x, the function is greater than equals to zero.

The range of the function is always greater than or equal to zero.

Range of $\"\"$ is : $\"\"$ .

The domain of $\"image\"$ is equal to the range of $\"image\"$ .

Solution :

The inverse function is $\"\"$ .

The graph of the functions are $\"\"$ and $\"\"$ .

$\"\"$

$\"image\"$ and $\"image\"$ are symmetric about $\"\"$ .

Domain of $\"\"$ is : $\"image\"$ .

Range of $\"\"$ is $\"\"$ .

Domain of $\"\"$ is $\"\"$ .

Range of $\"\"$ is : $\"\"$ .