Ask a question

indicated composite #1

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

2 Answers by Expert Tutors

Tutors, sign in to answer this question.
Peter H. | Tutoring in Math, Science, and Computer EngineeringTutoring in Math, Science, and Computer ...
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.


Yes, very good Carlos !
Deanna L. | Electrical engineering major and music lover with MIT degreeElectrical engineering major and music l...
4.9 4.9 (125 lesson ratings) (125)
The composite function is (6x+12)(4x-1) or 24x^2+42x-12. (Use the FOIL method - first, outer, inner last).
Hope that helps,