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Lecture 3

MAT135H1 Lecture Notes - Lecture 3: Function Composition, Inverse Function


Department
Mathematics
Course Code
MAT135H1
Professor
Alison Smith
Lecture
3

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MAT135 - Lecture 3 - Composite and Inverse Functions
New functions from old functions (cont’d from lecture 2)
Remember: domain of (f + g) = domain of (f - g) = domain of (f · g) = domain of f AND domain
of g (i.e. overlapping area)
Composite Functions
Given two functions f and g, the composite function f g is given by (f g)(x) = f(g(x))
Domain of composite functions
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