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indicated composite #1

find the indicated composite for the pair of functions
 
 f(x)=6x+12;  g(x)=4x-1
    Find(f*g)(x)
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2 Answers

Hi Carlos,
 
I'm going to give a different answer from that provided by Deanna, as I was taught this a little differently. For reference, you can see
 
 
I was taught that (f * g)(x) = f(g(x)) -- that is, we have an input x; apply function g to x; then take that result as input and apply function f. So for our f and g:
 
1) We apply function g to x and have (4x-1)
 
2) We apply function f to an input of (4x-1) and have 6*(4x-1) + 12
 
I leave it to you to simplify the answer of 6*(4x-1) + 12 -- I think you will find it to be somewhat different from the first answer we have.
 
Hope this helps you.

Comments

Yes, very good Carlos !
Carlos,
 
The composite function is (6x+12)(4x-1) or 24x^2+42x-12. (Use the FOIL method - first, outer, inner last).
 
Hope that helps,
Deanna