Combination Of Functions
Arithmetic Combinations - A way to reorganize 2 functions (usually g or f) so they are easier to solve
(fg)(x) = f(x)g(x)
(f/g)(x) = f(x)/g(x) ; g(x) ≠ 0
The compositions of f(x) with g(x) are solved the same way as any other funtion, except you plug "g" as x in the f(x) funtion
The composition of f(x) with g(x) is:
f(g(x)) or (f◦g)(x)
ex #2) f(x) = -3x g(x) = 2x+6
a. find (f◦g)(x)
b. find (g◦f)(x)
a. f(g(x)) b. g(f(x))
f(2x+6) g(-3x)
-3(2x+6) 2(-3x)+6
-6x-18 -6x+6
Links
An in-depth site that explains combinations of functions thoroughly.
Another in-depth site that explains combinations of functions.
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