wesdg1978
  • wesdg1978
Is the inverse of the function f(x)=x^3+4 a) f^-1(x)=cuberoot(x) - 4 b) cuberoot(x-4) c) not a one-to-one function?
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
An easy way to answer this is to simply put it into your calculator. When you do, you will find that the inverse of f(x)=x^3+4 will be F(x)^-1=cuberoot(x-4)
anonymous
  • anonymous
but you do have to determine whether or not the function is a one-to-one function

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anonymous
  • anonymous
The old one was 1-1, so the new one won't be.
wesdg1978
  • wesdg1978
Thanks, the teacher told us not to use calculators except for large numbered arithmetic that we couldn't do in our heads. Is b the answer then or c?
zzr0ck3r
  • zzr0ck3r
x^3+4 =y solve for x x^3=y-4 x=cuberoot(y-4) thus the inverse is y=cuberoot(x-4)
zzr0ck3r
  • zzr0ck3r
this is elementary @FutureMathProfessor
zzr0ck3r
  • zzr0ck3r
they are of course both 1-1
anonymous
  • anonymous
I got bored

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