airyana1114
  • airyana1114
Let f(x)=x-2 and g(x)=x^2-7x-9. Find f(g(-1)). Can someone help me step by step?
Mathematics
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SOLVED
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chestercat
  • chestercat
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jdoe0001
  • jdoe0001
\(\bf g(x)=x^2-7x-9\qquad \qquad g(-1)=?\)
airyana1114
  • airyana1114
Is it -15? @jdoe0001
anonymous
  • anonymous
Yes, it is -15 :)

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More answers

airyana1114
  • airyana1114
Do I just plug -15 in for x in f(x)? @Tommynaiter
anonymous
  • anonymous
Yes, you are correct.
airyana1114
  • airyana1114
Awesome, thank you guys :) @Tommynaiter @jdoe0001
jdoe0001
  • jdoe0001
hmmmm what's hmmm \(\Large (-1)^2=?\)
airyana1114
  • airyana1114
1 @jdoe0001
jdoe0001
  • jdoe0001
\(\bf g(x)=x^2-7x-9\qquad \qquad g(-1)=(-1)^2-7(-1)-9 \\ \quad \\ g(-1)=1+7-9\implies g(-1)=8-9\implies g(-1)=-1\)
jdoe0001
  • jdoe0001
and yes, then you just plug in g(-1) into f(x)
airyana1114
  • airyana1114
Oh okay, I accidentally did 7(-1) not -7(-1). I mixed up my signs. Okay, thank you :) So my final answer would be -3 correct? @jdoe0001

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