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I need help with this one. Use the function to evaluate the indicated expressions and simplify.
f(x) = 2x^2 + 5 f(x + 2) = f(x) + f(2) =
Solution
Given f(x)=2x^2 + 5
To find out f(x+2)
so, f(x+2) = 2(x+2)^2 + 5 = 2(x^2+4x+4) + 5 =4x^2 + 8x + 8 + 5 = 4x^2 + 8x +13
Again to find out f(x) + f(2)
=> f(x) + f(2) = 2x^2 + 5 + (2(2)^2 + 5) = 2x^2 + 5 +13 = 2x^2 +18

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  • 1. I need help with this one. Use the function to evaluate the indicated expressions and simplify. f(x) = 2x^2 + 5 f(x + 2) = f(x) + f(2) = Solution Given f(x)=2x^2 + 5 To find out f(x+2) so, f(x+2) = 2(x+2)^2 + 5 = 2(x^2+4x+4) + 5 =4x^2 + 8x + 8 + 5 = 4x^2 + 8x +13 Again to find out f(x) + f(2) => f(x) + f(2) = 2x^2 + 5 + (2(2)^2 + 5) = 2x^2 + 5 +13 = 2x^2 +18