ailenedlc ailenedlc
  • 03-06-2018
  • Mathematics
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given f(x)=6x+9 and g(x)=x^4, choose the expression for (f*g) (x)

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Аноним Аноним
  • 03-06-2018
(f*g)(x) means multiply the rules of each function.
(f*g)(x) = (6x + 9) × [tex] x^{4} [/tex]

             = [tex]6x( x^{4} )+9( x^{4} )[/tex] ← Distributive property
             
             = [tex]6 x^{5} +9 x^{4} [/tex]  ← remember add exponents on like base when multiplying

ANSWER: [tex]6 x^{5} +9 x^{4} [/tex] 

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