anonymous
  • anonymous
Given f(x) = x + 2 and g(x) = x2 – 4, find the function (g/f)(x).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Jhannybean
  • Jhannybean
\[\large (\frac{g}{f})(x)=\frac{x^2-4}{x+2}\]
Jhannybean
  • Jhannybean
expand the numerator. \[\large \frac{(x-2)(x+2)}{(x+2)}\] now eliminate like-terms. \[\large \frac{(x-2)\cancel{(x+2)}}{\cancel{(x+2)}} \] therefore you get \[\large (\frac{f(x)}{g(x)})(x) = x-2\]
Jhannybean
  • Jhannybean
See how that works?

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anonymous
  • anonymous
Yeah, would the excluded value be -2 as well? or just 2? @Jhannybean
anonymous
  • anonymous
I'm guessing it's just 2, since that was what your crossed out. Or what was excluded.
Jhannybean
  • Jhannybean
Umm..what is excluded value again ><
anonymous
  • anonymous
idk, it asks me for the excluded value as well. :P
Jhannybean
  • Jhannybean
Ohh, the values excluded in domain ? that would mean x cannot = - 2,i believe.
anonymous
  • anonymous
ohhh, okay thanks!
Jhannybean
  • Jhannybean
And the root is x=2. I believe you're right!
anonymous
  • anonymous
cool thanks!

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