anonymous
  • anonymous
Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2.
Mathematics
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anonymous
  • anonymous
Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2.
Mathematics
jamiebookeater
  • jamiebookeater
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netlopes1
  • netlopes1
Do you know what's composite function?
anonymous
  • anonymous
First calculate g(x)
anonymous
  • anonymous
g(2) = -2(2) - 3 g(2) = -4 -3 = -7 g(2) = -7

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netlopes1
  • netlopes1
\[f(x) = -x+4 \quad and \quad g(x)=-2x-3. \quad f(g(x))=-(-2x-3)+4 \rightarrow\]
anonymous
  • anonymous
Now go in to calculate f(x) which would be taken from the answer from g(2) f(-7) = -(-7) + 4 f(-7) = 11 f(g(x)) = 11
netlopes1
  • netlopes1
Or...\[f(g(x))=2x+7 \rightarrow f(g(2))=2.2+7 \rightarrow f(g(2))=11. \]
anonymous
  • anonymous
Yeah you could do whichever way is easier ! :)
netlopes1
  • netlopes1
Thanks....

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