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A composition function, regarding two functions, is when you apply the first function on the second function on an argument.
Bear in mind that a single, unaltered function is when you apply said function to an argument; a composition function simply applies the result of an application as an argument to another function.
For example, if one function is defined as f(x) = x + 4 and another is defined as g(x) = 2x, the composition of the two (where f is applied to g) is f(g(x)) = 2x + 4.
Note that composition is not commutative; that is, f(g(x)) is not necessarily equivalent to g(f(x)), unless if the functions are either the same or inverses of each other, in which case the result will be the argument; f(f-1(x)) = f-1(f(x)) = x.
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How do you change an exponential functions to a logarithmic function?
If y is an exponential function of x then x is a logarithmic function of y - so to change from an exponential function to a logarithmic function, change the subject of the function from one variable to the other.
Is function a noun?
Yes, the word 'function' is a noun (function, functions) as well as a verb (function, functions, functioning, functioned). Examples: Noun: The function of the receptionist is to greet visitors and answer incoming calls. Verb: You function as the intermediary between the public and the staff.
Is a function of periodic function periodic?
yes
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That's true. If a function is continuous, it's (Riemman) integrable, but the converse is not true.
What does a function multiplied by its inverse equal to?
The identity function.
