timothy4atkinso timothy4atkinso
  • 10-10-2017
  • Mathematics
contestada

If f (x)=2x^2+1 and g (x)=3x-2 what is the value of f (g (-2))?

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jdoe0001 jdoe0001
  • 10-10-2017
[tex]\bf \begin{cases} f(x)=2x^2+1\\ g(x)=3x-2\\ \end{cases}\qquad g(-2)=3(-2)-2\implies \boxed{g(-2)=-8} \\\\\\ f(~~g(-2)~~)\implies f\left( \boxed{-8} \right)\implies f(-8)=2(-8)^2+1 \\\\\\ f(-8)=2(64)+1\implies f(-8)=129[/tex]
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