The domain of the function is (0,∞) , {x|x>0}
and the range of the function is (−∞,∞), {y|y ∈ R}
given the function is y = 3 log x
Set the argument in log x greater than 0 to find where the expression is defined.
x > 0
The domain is all values of x that make the expression defined.
Interval Notation:
(0,∞)
Set-Builder Notation:
{x|x>0}
The range is the set of all valid y values. Use the graph to find the range.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{y|y∈R}
Determine the domain and range.
Domain: (0,∞) , {x|x>0}
Range : (−∞,∞), {y|y ∈ R}
Hence we get the required domain and range of the given function.
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