# Chapter 7.1-7.3 Test Outline

From Huben's Wiki

7.1: Operations on functions

- (f op g)(x) where op is +, -, *, /
- composition
- (f ○ g)(x) = f(g(x))
- evaluate composition
- find rule for composition
- order matters in composition (not commutative)

7.2 Inverse functions and relations

- find inverse relations by reversing ordered pairs
- reflect across y = x
- find inverses of functions by swapping x and y
- test if functions are inverses with composition
- horizontal and vertical line tests, one-to-one

7.3: Square root functions and inequalities

- terminology: radical, radicand, index
- half of the inverse of a parabola
- find domain from radicand
- build table
- graph from table
- range read from graph
- inequalities
- boundary line solid or dotted?
- test which side to shade within the domain
- domain and range