Department

MathematicsCourse Code

MAT135H1Professor

Alison SmithLecture

3This

**preview**shows page 1. to view the full**4 pages of the document.**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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