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24-09-2018
Mathematics

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f(x)=x^2+9; f(x+3)
evaluate the function at the given value of the independent variable and simplify

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24-09-2018

[tex]f(x) = {x}^{2} + 9 \\ \\ f(x + 3) = {(x + 3)}^{2} + 9 [/tex]

[tex]f(x + 3) =( {x}^{2} + 6x + 9) + 9 \\ \\ f(x + 3) = {x}^{2} + 6x + 18[/tex]

[tex]thus \boxed{ \red{f(x + 3) = {x}^{2} + 6x + 18 }}[/tex]

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