iwantcandy2002
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  • 14-08-2017
  • Mathematics
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Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = eight divided by square root of quantity two x plus four.

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jdoe0001 jdoe0001
  • 14-08-2017
[tex]\bf y=f[\ g(x)\ ]=\cfrac{8}{\sqrt{2x+4}}\\\\ -------------------------------\\\\ \begin{cases} f(x)=\cfrac{8}{\sqrt{x}}\\\\ g(x)=2x+4 \end{cases}\qquad f[\ \underline{g(x)}\ ]=\cfrac{8}{\sqrt{\underline{g(x)}}}\implies f[\ \underline{g(x)}\ ]=\cfrac{8}{\sqrt{\underline{2x+4}}}[/tex]
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