Operations of functions

Operations of functions - The following show us how to...

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The following show us how to perform the different operations on functions.
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Use the functions and to illustrate the operations: Sum of f + g (f + g)(x) = f(x) + g(x) This is a very straight forward process. When you want the sum of your functions you simply add the two functions together. Example 1 : If and then find (f + g)(x) *Add the 2 functions *Combine like terms Difference of f - g (f - g)(x) = f(x) - g(x) Another straight forward idea, when you want the difference of your functions you
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simply take the first function minus the second function. Example 2 : If and then find (f - g)(x) and (f - g) (5) *Take the difference of the 2 functions *Subtract EVERY term of the 2nd ( ) *Plug 5 in for x in the diff. of the 2 functions found above Since the difference function had already been found, we didn't have to take the difference of the two functions again. We could just merely plug in 5 into the already found difference function. Product of f g (f g)(x) = f(x)g(x) Along the same idea as adding and subtracting, when you want to find the product of your functions you multiply the functions together.
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Example 3 : If and then find (fg)(x) *Take the product of the 2 functions *FOIL method to multiply Quotient of f/ g (f /g)(x) = f(x)/g(x) Well, we don't want to leave division of functions out of the loop. It stands to reason that when you want to find the quotient of your functions you divide the functions. Example 4 : If and then find (f/g)(x) and (f/g)(1)
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*Use the quotient found above to plug 1 in for x Composite Function Be careful, when you have a composite function, one function is inside of the other. It is not the same as taking the product of those functions.
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Operations of functions - The following show us how to...

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