Given:
The function is
To find:
The inverse of the given function.
Solution:
We have,
Substitute m(x)=y.
Interchange x and y.
Add square of half of coefficient of y , i.e., on both sides,
Taking square root on both sides.
Add on both sides.
Substitute .
We know that, negative term inside the root is not real number. So,
Therefore, the restricted domain is and the inverse function is
.
Hence, option D is correct.
Note: In all the options square of is missing in restricted domain.