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Given the function f(x)=5x^(2)-1, then what is f(x)+3 as a simplified polynomial? Answer:

Given the function f(x)=5x2−1 f(x)=5 x^{2}-1 , then what is f(x)+3 f(x)+3 as a simplified polynomial?\newlineAnswer:

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Full solution

Q. Given the function f(x)=5x2−1 f(x)=5 x^{2}-1 , then what is f(x)+3 f(x)+3 as a simplified polynomial?\newlineAnswer:
  1. Add 33 to f(x)f(x): We have f(x)=5x2−1f(x) = 5x^2 - 1. To find f(x)+3f(x) + 3, just add 33 to f(x)f(x).
  2. Combine like terms: f(x)+3=(5x2−1)+3f(x) + 3 = (5x^2 - 1) + 3
  3. Final result: Combine like terms: −1+3=2-1 + 3 = 2.
  4. Final result: Combine like terms: −1+3=2-1 + 3 = 2.So, f(x)+3=5x2+2f(x) + 3 = 5x^2 + 2.

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