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Given the functions f(x)=x^(4) and g(x)=12*2^(x), which of the following statements is true? f(3) > g(3) f(3) < g(3) f(3)=g(3)

Given the functions f(x)=x4 f(x)=x^{4} and g(x)=12⋅2x g(x)=12 \cdot 2^{x} , which of the following statements is true?\newline f(3)>g(3) \newline\( f(3)

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Q. Given the functions f(x)=x4 f(x)=x^{4} and g(x)=12⋅2x g(x)=12 \cdot 2^{x} , which of the following statements is true?\newlinef(3)>g(3) f(3)>g(3) \newlinef(3)<g(3) f(3)<g(3) \newlinef(3)=g(3) f(3)=g(3)
  1. Calculate f(3)f(3): Calculate f(3)f(3) using the function f(x)=x4f(x) = x^4.\newlinef(3)=34f(3) = 3^4\newlinef(3)=81f(3) = 81
  2. Calculate g(3)g(3): Calculate g(3)g(3) using the function g(x)=12×2xg(x) = 12 \times 2^x.\newlineg(3)=12×23g(3) = 12 \times 2^3\newlineg(3)=12×8g(3) = 12 \times 8\newlineg(3)=96g(3) = 96
  3. Compare f(3)f(3) and g(3)g(3): Compare f(3)f(3) and g(3)g(3) to determine the relationship.\newlineSince f(3)=81f(3) = 81 and g(3)=96g(3) = 96, it is clear that f(3) < g(3).

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