anonymous
  • anonymous
fan and medal. need help quick! show the steps plz! write the equation of the function g(x) if g(x)=f(x-3)+1 and f(x)=x^3+1.
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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johnweldon1993
  • johnweldon1993
\[\large f(x) = x^3 + 1\] \(\large f(x-3)\) means replace every 'x' you see in f(x) with (x-3) so that would give you \[\large f(x - 3) = (x-3)^3 + 1\] Now since g(x) = f(x-3) + 1 that means \[\large g(x) = f(x-3)+1 = (x-3)^3 + 1 + 1\]
anonymous
  • anonymous
so this would be my final answer then?o.o
johnweldon1993
  • johnweldon1993
Well obviously we can combine the 1+1 lol \[\large g(x) = (x-3)^3 + 2\] Now as far as the "final" answer...this is technically correct...however if you wish to expand the polynomial you absolutely can :)

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anonymous
  • anonymous
oh thank you so much!!!!! :)
johnweldon1993
  • johnweldon1993
Not a problem :)

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