Which one of the following is g(x)?
Direction: Consider the following for the two (02) items that follow : Let f \circ g(x)=\cos^{2}\sqrt{x} and g \circ f(x)=|\cos x|.
- A. \sqrt{x} ✓
- B. |x|
- C. x^{2}
- D. x|x|
Correct Answer: A. \sqrt{x}
Explanation
From the deductions in the previous question, setting g(x) = \sqrt{x} alongside f(x) = \cos^2 x correctly yields g(f(x)) = \sqrt{\cos^2 x} = |\cos x|. Therefore, g(x) = \sqrt{x}.
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