# What is the function of testosterone

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(with different domain) is a different function, even though the formulas defining f and g agree. Similarly, a function with a different codomain is also a different function. Nevertheless, many authors do not specify the domain and codomain, especially if these are clear from context. So in this example many just write f ( x ) = 4 − x . Sometimes, the maximal possible domain within a larger set implied by context is implicitly understood: a formula such as f ( x ) = x 2 − 5 x + 6 {\displaystyle \textstyle f(x)={\sqrt {x^{2}-5x+6}}} may mean that the domain of f is the set of real numbers x where the square root is defined (in this case x ≤ 2 or x ≥ 3 ). However, in a different context, this expression might refer to a complex-valued function f : R → C {\displaystyle f:\mathbb {R} \to \mathbb {C} } .