Function Operation Help Please

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glittlejohn

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Jan 3, 2013
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The problem that I don't know how to so is (f*g)(c)

f(x)= x^2
g(x)= x-3

I know how to do problems like f(g(x)) but not when there is another variable or it is written in that notation

Any help would be great thanks!!
 
glittlejohn said:
The problem that I don't know how to so is (f*g)(c)

f(x)= x^2
g(x)= x-3

I know how to do problems like f(g(x)) but not when there is another variable or it is written in that notation

Any help would be great thanks!!
Click to expand...
Are you sure that the problem is not

\(\displaystyle (f \circ g)(c),\ which\ means\ f(g(c)).\)
 
glittlejohn said:
Yes actually that is the problem, but I still dont know what you have to do with c
Click to expand...
c just stands for a number.

You said you could do f(g(1)). So what is the hang up with f(g(c))?

What is g(c)?

So what is the argument of f?

You are way overthinking this problem because the notation took you by surprise.
 
glittlejohn said:
The problem that I don't know how to so is (f*g)(c)

f(x)= x^2
g(x)= x-3

I know how to do problems like f(g(x)) but not when there is another variable or it is written in that notation

Any help would be great thanks!!
Click to expand...

First find f[g(x)] - then replace 'x' with 'c' !!!!!
 
glittlejohn said:
The problem that I don't know how to so is (f*g)(c)

f(x)= x^2
g(x)= x-3

I know how to do problems like f(g(x)) but not when there is another variable or it is written in that notation

Any help would be great thanks!!
Click to expand...


glittlejohn,


(f*g)(c), in part, involves the product of two functions.


But then you brought up f(g(x)).


I'm getting a mixed message from your post.


Which is it that you have trouble with?

Is it the product of f and g at c, the composition of f and g at c, or both?
 
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