Question 1163502: hey! can you help me please, i dont know how to resolve this problem
given f(x)=e^(3x) and g(x)= 3x-4, find the composition of the function (f*g)(x)
Found 3 solutions by solver91311, greenestamps, ikleyn:
Answer by solver91311(24713)   (Show Source):
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
According to standard convention, (f*g)(x) is NOT the same as (fog)(x)=f(g(x)).
(f*g)(x) is simply f(x)*g(x).
ANSWER: (f*g)(x) = (e^(3x))*(3x-4).
Answer by ikleyn(52781)  (Show Source):
You can put this solution on YOUR website! .
Hello, I came to educate you a little . . .
The composition of functions f(x) and g(x), (fog)(x), is the function f(g(x)).
It means that the function g(x) works/(is applied) first to x and transform x into the other value g(x),
which goes then as an argument / (as an input) to the function f.
The product of the functions f(x) and g(x), (f*g)(x), is simply the product of their values.
So, you should know that (fog)(x) and (f*g)(x) are TWO DIFFERENT functions.
Look attentively on their definitions and designations --- then you will be OK.
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So, again, in order for to be totally clear.
When you call and write " the composition of the function (f*g)(x) ",
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| YOU MAKE a MISTAKE. |
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If it is a composition, it should be written as (fog)(x).
If it is a product, then it should be written as (f*g)(x).
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