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02-04-2020
Mathematics

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What is the function of f(g(x)) if f(x)= x^2+1 and g(x)=3x

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02-04-2020

Step-by-step explanation:

For this composition function, [tex]f(g(x))[/tex], we should substitute [tex]g(x)[/tex] anytime we see an [tex]x[/tex] variable in [tex]f(x)[/tex]:

[tex]x^{2} + 1[/tex]

[tex][g(x)]^{2} + 1[/tex]

[tex](3x)^{2} + 1[/tex]

[tex]9x^{2} + 1[/tex]

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