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angeltx
angeltx angeltx
  • 04-02-2017
  • Mathematics
Answered

Write a rule for g(x) = f(-x)-5 when f(x) = x^3 + x^2 -1

Verified Answer :

lukyo
lukyo lukyo
  • 04-02-2017

If f(x) = x^3 + x^2 - 1, then

f(-x) = (-x)^3 + (-x)^2 - 1

f(-x) = (-1)^3 x^3 + (-1)^2 x^2 - 1

f(-x) = (-1) x^3 + 1 x^2 - 1

f(-x) = -x^3 + x^2 - 1


So,

g(x) = f(-x) - 5

g(x) = -x^3 + x^2 - 1 - 5

g(x) = -x^3 + x^2 - 6 <----- this is the answer


I hope this helps. =)

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