SOLUTION: , find the Domain and the Range of the following funcions. a. f(x) = 2/(5x +6) b. f(x) = 1/√(2x -3) c. f (x) = 1/(x^2-2x -3)

Question 1183577: , find the Domain and the Range of the following funcions.
a. f(x) = 2/(5x +6)
b. f(x) = 1/√(2x -3)
c. f (x) = 1/(x^2-2x -3)

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
find the Domain and the Range of the following functions.
a.
note that is denominator and cannot be equal to zero
so exclude vale of that makes

Domain:
{ element : }
Range:
{ element : }

b.
must be greater than zero
only if => =>
Domain:
{ element : }
Range:
{ element : } (all positive real numbers)

c. ....factor denominator

exclude values and
Domain:
{ element : and }
Interval notation:
( ,) U (,) U (, )
Range:
The range is the set of values of the maximum and minimum
x coordinate of max is

plug it in

so vertex is at ,

minimum at and , so

range:
{ element : or }

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