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Section 1.1.3 Operations with Functions

Section 1.1.3 Operations with Functions. Operations with Functions. Let f and g be any two functions. We define as follows:. Operations with Functions. Let f and g be any two functions.

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Section 1.1.3 Operations with Functions

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  1. Section 1.1.3 Operations with Functions

  2. Operations with Functions Let f and g be any two functions. • We define as follows:

  3. Operations with Functions Let f and g be any two functions. Domain: f__________ g ___________ Finding the value : _________________________________ Find

  4. Operations with Functions Let f and g be any two functions. • We define as follows: Sum: _________________________________ Domain: ___________________________ Find ( f + g ) (x) and determine the domain

  5. Operations with Functions Let f and g be any two functions. Difference: _________________________________ Domain: ___________________________ Find ( f - g ) (x) and determine the domain

  6. Operations with Functions Let f and g be any two functions. • Quotient: _________________________________ Domain: ___________________________ Find and determine the domain

  7. Operations with Functions Let f and g be any two functions. • Product: _______________________ written _____ or _____ Domain: ___________________________ Find (fg)(x) and determine the domain Careful: ____________________________________________________________

  8. Composition of Functions: _________________________________________ • Forms: ________________________________________ ________________________________________

  9. Inverse of a Function Inverse of a Function ____________________________________________________ Notation : ____________________________ read ___________________________________ ( Caution: __________________________________________ )

  10. Defn: (words) ____________________________________________________ If _______________________________________ then ____________________________________ Defn: (math) ____________________________________________________ ____________________________________________________

  11. Method to find an inverse: ____________________________________________________ ____________________________________________________ Check : Find f(4)

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