anonymous
  • anonymous
Which of these is the composite function f(g(x))? f(x) = x2 – 5 g(x) = 9x – 2 A. f(g(x)) = 9x2 – 1 B. f(g(x)) = 9x2 – 9 C. f(g(x)) = 81x2 – 18x – 9 D. f(g(x)) = 81x2 – 36x – 1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
( 9x – 2 )2 – 5 plug in all the 9x – 2 into all the xs in the x2-5 function
anonymous
  • anonymous
and of course ( 9x – 2 )2 – 5 is actually ( 9x – 2 )*( 9x – 2 ) -5 foil out ^^^ -5
johnweldon1993
  • johnweldon1993
Since this is just f(g(x)) we would take g(x) and plug in it for 'x' anywhere we see it in f(x) since f(x) = x² - 5...we replace 'x' with 9x - 2 (9x - 2)² - 5 And now simplify

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anonymous
  • anonymous
81x^2-36x-1?
johnweldon1993
  • johnweldon1993
That would be correct!
anonymous
  • anonymous
Sweet. Your awesome! Thank you both Tim and John!
johnweldon1993
  • johnweldon1993
No problem :)

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