find the indicated composite for the pair of functions

f(x)=6x+12; g(x)=4x-1

Find(f*g)(x)

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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Everett, WA

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.

Redmond, WA

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

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