Answers to Matched Problems in Domain and Range

The answers to the matched problems in Domain and Range of a Function are presented.




Matched Problem 1: Find the domain of function f defined by

f (x) = -1 / ( x + 3)


Answer:

The domain of function f is the set of all values of x in the interval
(-infinity , -3) U (-3 , +infinity)


Matched Problem 2: Find the domain of function f defined by:

f (x) = sqrt (-x + 9)


Answer:

The domain of function f is the set of all values of x in the interval
(-infinity , 9 ]


Matched Problem 3: Find the domain of function f defined by:

f (x) = sqrt( -x + 2) / [(x + 1)(x + 9)]


Answer:

The domain of function f is the set of all values of x in the interval
(-infinity , -9) U (-9 , -1) U (-1 , 2]


Matched Problem 4: Find the range of function f defined by:

f (x) = x 2 + 3


Answer:

The range of function f is the set of all values of f(x) in the interval
[3 , +infinity)






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