Lesson 4-2 Operations on Functions. We can do some basic operations on functions.
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Lesson 4-2 Lesson 4-2 Operations on Functions Operations on Functions
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Transcript of Lesson 4-2 Operations on Functions. We can do some basic operations on functions.
Lesson 4-2Lesson 4-2Operations on FunctionsOperations on Functions
• We can do some basic operations on functions.
• We can do some basic operations on functions.
• We can add, subtract, multiply and divide functions.
If given functions f(x) and g(x):
If given functions f(x) and g(x):
The sum of functions f and g is
If given functions f(x) and g(x):
The sum of functions f and g is
If given functions f(x) and g(x):
The difference of functions f and g is
If given functions f(x) and g(x):
The difference of functions f and g is
If given functions f(x) and g(x):
The product of functions f and g is
If given functions f(x) and g(x):
The product of functions f and g is
If given functions f(x) and g(x):
The quotient of functions f and g is
Example:Let f(x) = x + 1 and g(x) = x2 – 1, find a rule for
each of the following functions.
Example:Let f(x) = x + 1 and g(x) = x2 – 1, find a rule for
each of the following functions.
Example:Let f(x) = x + 1 and g(x) = x2 – 1, find a rule for
each of the following functions.
• Another way of combining functions is called composition of functions.
• Another way of combining functions is called composition of functions.
• This is simply a process of substituting a functions rule in for the variable in a 2nd function.
Example:
Example:
Example:
Example:
Example:
Example:
Assignment:
Pgs. 127-129C. E. 1-13 all,
W.E. 1-19 odd
