anonymous
  • anonymous
Write the equation of the function g(x) if g(x) = f(x – 2) +4 and f(x) = x^3 + 2. I already took the test that had this question, I just want to know how to solve it, please. I feel like it may be such an easy question, but I'm just overthinking it.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Nnesha
  • Nnesha
find f(x-2) first replace x with x-2 into f(x) function
Nnesha
  • Nnesha
\[\huge\rm f(\color{ReD}{x-2})=\color{ReD}{x}^3+2\] ^^replace x with x-2
Nnesha
  • Nnesha
then solve right side you can apply the foil method or remember \[\huge\rm \rm (a+b)^3=a^3+3a^2b+3ab^2+b^3\] any question ? feel free to tag my name!

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anonymous
  • anonymous
And that should give me g(x)? @Nnesha
Nnesha
  • Nnesha
no that would you give you f(x-2)
Nnesha
  • Nnesha
\[\huge\rm g(x)= \color{ReD}{f(x-2)}+4\] so then you can substitutef(x-2) with the result
Hero
  • Hero
@Nnesha, \(f(x - 2) = (x - 2)^3 + 2\)
anonymous
  • anonymous
OOHHH okay I got you, that makes so much more sense. I was completely thinking about it in a different way. I know how to do it now. Sorry about that. Thanks:) @Nnesha
Nnesha
  • Nnesha
correction (a-b)^3 ** \[\large\rm \rm (a-b)^3=a^3-3a^2b+3ab^2-b^3\]
Nnesha
  • Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @Hero @Nnesha, \(f(x - 2) = (x - 2)^3 + 2\) \(\color{blue}{\text{End of Quote}}\) yes, i wanted him to substitute 2nd x

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