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Given the function f(x)=6x^(2)-1, then what is f(-x) as a simplified polynomial? Answer:

Given the function f(x)=6x2−1 f(x)=6 x^{2}-1 , then what is f(−x) f(-x) as a simplified polynomial?\newlineAnswer:

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Full solution

Q. Given the function f(x)=6x2−1 f(x)=6 x^{2}-1 , then what is f(−x) f(-x) as a simplified polynomial?\newlineAnswer:
  1. Replace xx with −x-x: Replace xx with −x-x in the function f(x)f(x).f(−x)=6(−x)2−1f(-x) = 6(-x)^{2} - 1
  2. Simplify square of −x-x: Simplify the square of −x-x.f(−x)=6(−x×−x)−1f(-x) = 6(-x \times -x) - 1
  3. Calculate square of −x-x: Calculate the square of −x-x.f(−x)=6(x2)−1f(-x) = 6(x^2) - 1
  4. Write final simplified polynomial: Write the final simplified polynomial. f(−x)=6x2−1f(-x) = 6x^2 - 1

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