emang987 emang987
  • 23-07-2018
  • Mathematics
contestada

consider the functions f(x)=2x+1 and g(x)=x^2-10. what is the value of f[g(3)]

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jdoe0001 jdoe0001
  • 23-07-2018

[tex] \bf \begin{cases}
f(x)=2x+1\\
g(x)=x^2-10\\
f(~~g(x)~~)=2[g(x)]+1
\end{cases}
\\\\\\
g(3)=(3)^2-10\implies g(3)=9-10\implies g(3)=-1
\\\\\\
f(~~g(3)~~)=2[g(3)]+1\implies f(~~g(3)~~)=2[-1]+1
\\\\\\
f(~~g(3)~~)=-2+1\implies f(~~g(3)~~)=-1 [/tex]

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