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What are some periodic functions?
Some examples of periodic functions include sine and cosine functions, square wave functions, and sawtooth wave functions. These functions repeat themselves over a given interval, called the period, and have the same values at regular intervals.
Is sine-30 equal to -sine30?
Yes. It is one of the trigonometric functions called ODD functions, wherein: f(-x) = - f(x) On the other hand, for EVEN functions, like the cosine function: f(-x) = f(x)
What is inner functions in mathematics?
In mathematics it is possible to have functions of functions, and functions of functions of functions and so on.So if f is a function of function g of a variable x, which may be written as f(g(x)) then g is the inner function.Thus in the function sin(3x2+5), the inner function is (3x2+5). Inner functions are particularly important in calculus (differentiation and integration).
How are f x and g x alike How are they different?
f(x) and g(x) are generic names of functions - sort of variables that represent functions instead of numbers. That means they don't always stand for the same specific function. How such functions are alike and different depends on what the specific functions are.
What is an inverse function in mathematics?
Inverse functions are two functions that "undo" each other. Formally stated, f(x) and g(x) are inverses if f(g(x)) = x. Multiplication and division are examples of two functions that are inverses of each other.
