millerannette33 millerannette33

14-06-2019
Mathematics

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If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).

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jdoe0001 jdoe0001

14-06-2019

[tex]\bf \begin{cases} f(x)=2x+3\\ g(x)=x^2+1 \end{cases}\qquad \qquad g(3)=(3)^2+1\implies g(3)=\boxed{10} \\\\\\ f(~~g(3)~~)\implies f\left( ~~\boxed{10}~~ \right)=2(10)+3\implies \stackrel{f(g(3))}{f(10)}=23[/tex]

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