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Function Values Equations that are functions can be written in a form called function notation For example y 2x 1 can be written as f(x) 2x 1 In the |
Is FGX equal to GFX?
In general gf(x) is not equal to fg(x).
In order to evaluate a composite function, take the given input value (fractional value) and find its output value (which may be a fraction).
Then, take this output value and replace it as the "new" input value ("new" fractional value) of a second function, to find the value between the composition.
What is an example of a composition function?
In the composition of (f o g) (x) the domain of function f becomes g(x).
The domain is a set of all values which go into the function.
Example: If f(x) = 3x+1 and g(x) = x2 , then f of g of x, f(g(x)) = f(x2) = 3x2+1.
What does this mean f ∘ G?
In the composition of functions we substitute an entire function into another function.
The notation of the function f with g is (f∘g)(x)=f(g(x)) and is read f of g of x .
It means that wherever there is an x in the function f , it is replaced with the function g(x) .
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