Combinations of Functions: Operations and Techniques
This section covers essential combinations of functions, focusing on operations such as sum, difference, product, quotient, and compositions. For the sum, combine like terms, while the difference requires distributing the negative sign to the second function before combining like terms. The product involves multiplying the first term of the first function by every term of the second. For the quotient, remember that the denominator cannot be zero. Lastly, compositions entail substituting the second function into the variable of the first function.
Combinations of Functions: Operations and Techniques
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Presentation Transcript
Combinations of Functions • Sum: combine like terms • Difference: distribute the negative to the second function and combine like terms • Product: multiply the first term in the first function by every term in the second function repeat the process until you have distributed every term in the first function
Combinations of Functions • Quotient: Divide the two functions Remember the denominator can not equal zero • Compositions: Plug the second function into the variable of the first function