Concept explainers
To find: The domain of a function in interval notation.
The domain D of the function g(x)=3√2x−1 is the interval notation written as (−∞,1/2) .
Given information: The function is g(x)=3√2x−1 .
Method/Formula used:
Suppose y=f(x) be a function f:A→B , x∈A,y∈B the set A is called the domain of function f and set B the co-domain. Thus, the domain of a function f(x) are the values of x for which the function f(x) is defined.
Calculation:
The given function is g(x)=3√2x−1 . This function is not defined when 2x−1 is zero 2x−1 is negative, i.e., when 2x−1≤0 or x≤1/2 for other values of x from the set of real numbers ℝ or(− ∞,∞) , g(x)=3√2x−1 is defined.
Therefore, the domain D of the function g(x)=3√2x−1 is the interval notation written as D=(−∞,1/2) .
Chapter 1 Solutions
PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
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