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Operations on functions include addition, subtraction, multiplication, division, and the composition of functions.
Given functions |f(x)| and |g(x),| each operation is written as follows.
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Addition |
|(f+g)(x)=f(x)+g(x)| |
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Subtraction |
|(f-g)(x)=f(x)-g(x)| |
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Multiplication |
|(f\times g)(x)=f(x) \times g(x)| |
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Division |
|(f\div g)(x) = f(x) \div g(x)| |
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Composition |
|(f\circ g)(x)=f\big(g(x)\big)| |
Make sure to carefully identify the domain of the function obtained after doing an operation.