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  • 02-05-2019
  • Mathematics
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if f(x)= x-6 and g(x)=x^1/2(x+3), find g(x)xf(x)

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sofiaSMEB22
sofiaSMEB22 sofiaSMEB22
  • 02-05-2019

Answer:

[tex]f(x)= x-6\\g(x) = x^\frac{1}{2} (x+3)\\\left(x-6\right)\left(x^{\frac{1}{2}}\left(x+3\right)\right):\quad x^{\frac{5}{2}}-3x^{\frac{3}{2}}-18x^{\frac{1}{2}}\\x^2\sqrt{x}-3x\sqrt{x}-18x^{\frac{1}{2}}\\[/tex]

Factor and you get

[tex]x^\frac{1}{2} (x-6)(x+3)[/tex]

Hope this helps!!!

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