Unformatted text preview: Operations on
Operations
Functions
Functions
Section 3.5 Sum, Difference, Product, and
Quotient of Functions
Quotient
( f + g )( x) = f ( x) + g ( x) ( f − g )( x) = f ( x) − g ( x)
( fg )( x) = f ( x) • g ( x)
f
f ( x) ÷( x) =
g ( x)
g Composite Functions
Composite If f and g are functions, then the composite function of f and g is ( g o f )( x) = g ( f ( x)) The expression is read “g circle f ” or “f followed by g.” Note the order carefully; the functions are applied right to left. Domains of Composite Functions
Domains
Let f and g be functions. The domain of g o f
is the set of all real numbers x such that x is in the domain of f
f(x) is in the domain of g Joke Time
Joke What do you call a line of rabbits walking backwards?
a receding “hare” line Why did Dracula’s mom give Why did Dracula’s mom give him cough syrup? because he was coffin ...
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 Winter '11
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 Calculus, Composite Functions, Dracula’s mom

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