The domain of the linear piece is (0,∞). So, the right option is C.
What are functions?
A function is a relation between a dependent variable (say f(x) ) and an expression of an independent variable (say x), used to determine the value of a dependent variable from a given value of an independent variable.
What is the domain of the function?
The domain of a function is the set of independent variables, where the value of the dependent variables is defined.
How do we solve the given question?
The linear part of the function starts from the point where x = 0 and then goes on for all positive values of x. At x = 0, the point on the graph is marked hollow, which represents that f(x) is not determined at x = 0.
So, the linear part of the function is defined for the values 0 < x < ∞, that is the domain of the linear piece of the function is 0 < x < ∞.
This can also be represented as (0,∞).
So the domain of the linear piece of the function f is (0,∞).
So, the right option is C.
Learn more about the Domain of a function at
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