STANDARD 24 & 25: FUNCTION OPERATIONS
Adding and Subtracting Functions
You can add two functions:
(f+g)(x) = f(x) + g(x)
Note: I put the f+g inside ( ) so you know they both work on x.
Example: f(x) = 2x+3 and g(x) = x
(f+g)(x) = (2x+3) + (x) = 3x+3
combine like terms
Example2: v(x) = 5x+1, w(x) = 3x-2
(v+w)(x)
= (5x+1) + (3x-2)
= 8x-1
(f+g)(x) = f(x) + g(x)
Note: I put the f+g inside ( ) so you know they both work on x.
Example: f(x) = 2x+3 and g(x) = x
(f+g)(x) = (2x+3) + (x) = 3x+3
combine like terms
Example2: v(x) = 5x+1, w(x) = 3x-2
(v+w)(x)
= (5x+1) + (3x-2)
= 8x-1
Multiplying & Dividing Functions
Use the distributive property to multiply (similar to multiplying polynomials- standard 3!)
Division of functions is also like dividing polynomials!
Division of functions is also like dividing polynomials!
Function Compositions
"Function Composition" is applying one function to the results of another:
The result of f() is sent through g()
It is written: (g º f)(x)
Which means: g(f(x)) REMEMBER we read this out loud as "g of f of x"
It's like putting one function inside of another!
The result of f() is sent through g()
It is written: (g º f)(x)
Which means: g(f(x)) REMEMBER we read this out loud as "g of f of x"
It's like putting one function inside of another!
Symbol The symbol for composition is a small circle: (g º f)(x)
It is not a filled in dot: (g · f)(x), as that would mean multiply.
Watch this Video: Function Composition http://www.brightstorm.com/math/algebra-2/functions/composition-of-functions/
It is not a filled in dot: (g · f)(x), as that would mean multiply.
Watch this Video: Function Composition http://www.brightstorm.com/math/algebra-2/functions/composition-of-functions/
Standard 24 Practice | |
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