AmiraRosa
AmiraRosa AmiraRosa
  • 19-03-2021
  • Mathematics
contestada

If f(x)=2x−3 and g(x)=4x+5, what is (f⋅g)(x)?
A)(f⋅g)(x)=8x−15
B)(f⋅g)(x)=6x+2
C)(f⋅g)(x)=8x2+22x−15
D)(f⋅g)(x)=8x2−2x−15

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sqdancefan
sqdancefan sqdancefan
  • 19-03-2021

9514 1404 393

Answer:

  D)  (f⋅g)(x)=8x2−2x−15

Step-by-step explanation:

  (f·g)(x) = f(x)·g(x) = (2x -3)(4x +5) = 2x(4x +5) -3(4x +5)

  = 8x² +10x -12x -15

  (f·g)(x) = 8x² -2x -15

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