anonymous
  • anonymous
PLEASE HELP!!!!!! For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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ganeshie8
  • ganeshie8
got options ?
anonymous
  • anonymous
A. Both compositions produce the same output. B. Neither composition produces an output. C. f(g(x)) produces the greatest output. D. g(f(x)) produces the greatest output.
anonymous
  • anonymous
@Here_to_Help15 @UsukiDoll

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rvc
  • rvc
@Michele_Laino please help us :)
ganeshie8
  • ganeshie8
Maybe lets work f(g(x)) and g(f(x))
ganeshie8
  • ganeshie8
f(x) = 2x − 6 and g(x) = 5x + 1 f(g(x)) = ?
anonymous
  • anonymous
10x - 4?
ganeshie8
  • ganeshie8
g(f(x)) = ?
anonymous
  • anonymous
10x - 29
ganeshie8
  • ganeshie8
Excellent! so we have f(g(x)) = 10x-4 g(f(x)) = 10x-29
ganeshie8
  • ganeshie8
Notice that g(f(x)) = 10x - 29 = 10x - 4 - 25 = f(g(x)) - 25
ganeshie8
  • ganeshie8
which is same as f(g(x)) = g(f(x)) + 25
ganeshie8
  • ganeshie8
can we say f(g(x)) is always 25 greater than g(f(x)) ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
so it would be C?
ganeshie8
  • ganeshie8
Yep!
anonymous
  • anonymous
thank you :)
ganeshie8
  • ganeshie8
yw

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