Answer:
a)
Step-by-step explanation:
We have been given a function . We are asked to find the domain of our given function.
We can see that our given function is a rational function and numerator of our given function is a square root.
To find the domain of our given function, we will find the number that will make our denominator 0 and the domain of square root function will be the values of x that will make our numerator non-negative.
Undefined points for our given function:
The domain of denominator is all values of x, where x is not equal to negative 4 and positive 6.
Non negative values for radical:
The domain of numerator is all value of x greater than or equal to negative
Upon combining real regions and undefined points for our given function, the domain of our given function will be all values of x greater than or equal to negative 1, where x is not defined for 6.
Therefore, domain of our given function is .