Given the functions f, of, x, equals, 3, x, squaredf(x)=3x 2 and g, of, x, equals, 2, dot, 4, to the power xg(x)=2⋅4 x , which of the following statements is true?AnswerAttempt 1 out of 2The number of attempts on this specific problem before you are marked incorrectMultiple Choice Answersf, of, 3, equals, g, of, 3f(3)=g(3)f, of, 3, is greater than, g, of, 3f(3)>g(3)f, of, 3, is less than, g, of, 3f(3)<g(3)
Question
Given the functions f, of, x, equals, 3, x, squaredf(x)=3x 2 and g, of, x, equals, 2, dot, 4, to the power xg(x)=2⋅4 x , which of the following statements is true?AnswerAttempt 1 out of 2The number of attempts on this specific problem before you are marked incorrectMultiple Choice Answersf, of, 3, equals, g, of, 3f(3)=g(3)f, of, 3, is greater than, g, of, 3f(3)>g(3)f, of, 3, is less than, g, of, 3f(3)<g(3)
Solution
To answer this question, we first need to calculate the values of f(3) and g(3).
For f(x) = 3x^2, when x = 3, we get f(3) = 3*(3^2) = 3*9 = 27.
For g(x) = 24^x, when x = 3, we get g(3) = 2(4^3) = 2*64 = 128.
So, f(3) = 27 and g(3) = 128.
Comparing these two values, we can see that f(3) is less than g(3).
Therefore, the correct answer is "f, of, 3, is less than, g, of, 3f(3)<g(3)".
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