SOLUTION: find f(g(x) and g(f(x) a) f(x)= -3x ,g(x)=2x+6 b) f(x)= x^2 + 4x , g(x)= x-1

Algebra ->  sets and operations -> SOLUTION: find f(g(x) and g(f(x) a) f(x)= -3x ,g(x)=2x+6 b) f(x)= x^2 + 4x , g(x)= x-1       Log On


   



Question 549654: find f(g(x) and g(f(x)
a) f(x)= -3x ,g(x)=2x+6
b) f(x)= x^2 + 4x , g(x)= x-1

Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
a) f(x)= -3x ,g(x)=2x+6

f(g(x)) is just basically saying everywhere you have an x in f(x), put the entire g(x) function.
So for this example, f(g(x))=-3(2x+6)
and g(f(x)) is just saying everywhere you have and x in g(x), put the entire f(x) function
So for this example, g(f(x))=2(-3x)+6
I will let you do b) yourself (hint: VERY similar to a), just different functions.

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Hopefully this helps! Let me know if you are still unsure
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