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
(-∞ , - 3) U (- 3 , +∞)


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

f (x) = √ (- x + 9)

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


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

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

Answer:
The domain of function f is the set of all values of x in the interval
(-∞ , - 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 , + ∞)

More on Finding Domain and Range of Functions.
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