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

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

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Q. Given the function f(x)=−1+3x2 f(x)=-1+3 x^{2} , then what is f(3x) f(3 x) as a simplified polynomial?\newlineAnswer:
  1. Substitute 3x3x in function: Substitute 3x3x for xx in the function f(x)f(x).\newlinef(3x)=−1+3(3x)2f(3x) = -1 + 3(3x)^{2}
  2. Simplify square term: Simplify the square term (3x)2(3x)^2.\newlinef(3x)=−1+3(9x2)f(3x) = -1 + 3(9x^2)
  3. Multiply by 33: Multiply 33 by 9x29x^2.\newlinef(3x)=−1+27x2f(3x) = -1 + 27x^2
  4. Write final simplified polynomial: Write the final simplified polynomial. f(3x)=27x2−1f(3x) = 27x^2 - 1

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