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bob1231 bob1231
  • 13-01-2015
  • Mathematics
Answered

I need help with this function

I need help with this function class=

Verified Answer :

konrad509
konrad509 konrad509
  • 13-01-2015

\(f(x)=3x^2+1\\ g(x)=2x+2\\\\ y=2x+2\\ 2x=y-2\\ x=\dfrac{1}{2}y-1\\ g^{-1}(x)=\dfrac{1}{2}x-1\\\\ (f\cdot g)(x)=f(x)\cdot g(x)\\\\ (f\cdot g^{-1})(2)=(3\cdot2^2+1)(2\cdot2+2)\\ (f\cdot g^{-1})(2)=(12+1)\cdot6\\ (f\cdot g^{-1})(2)=13\cdot6\\ (f\cdot g^{-1})(2)=78\)

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