1) Describe the relationship of input and outpunt values for a composite functions.
The composition of the functions f(x) and g(x) is defined as:
(f ° g) (x) = f [g(x) ].
That means that the output of the function g(x) is the input of the function f(x).
2) Is the inverse of a function always a function?
No, the inverse of a function is not always a function.
Remember that a function cannot have two different outputs for one or more input.
The reason is that if the original function has two or more inputs that result in a same output, when you inverse the original function, the outputs of the original are the inputs of the inverse function and the inputs of the original are the outputs of the inverse. That implies that the inverse function would have some inputs related with more than one output, which is the negation of a function.
A large outlier could affect the data set because it could make the mean larger, which just means that the average number of the set would be a lot bigger than it already is.
An example would be: 1, 3, 5, 19
19 is obviously the large outlier, so to find the mean, we would add everything together then divide by 4.
The mean would be 28/4=7 So 7 is our mean, but if the large outlier were, let's say 50, then the mean would be way larger than it already is.
~Hope this helped!~
<span>the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet</span>
