Given Below Are the Graphs of Two Functions F(x)and G(x) $h(x)=f(g(x))$

question 80

Short Answer

Given below are the graphs of two functions f(x)and g(x).Let $h(x)=f(g(x))$ .Is the point x = 1 a local minimum, a local maximum, or neither for the function $h(x)$ ?

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Definitions:

Positivism

A philosophical approach that asserts that knowledge should be based on empirical and measurable evidence rather than intuitive or speculative means.

Anti-positivism

A philosophical stance that emphasizes the importance of subjective experience and the social context in which research is conducted, as opposed to relying solely on empirical, observable data.

Rationalized

The process of attempting to explain or justify behavior or an attitude with logical reasons, even if these are not appropriate.

Weber

A reference to Max Weber, a German sociologist, philosopher, and political economist known for his theories on the structure of society and the nature of authority.