2. What composition created the function? a. \( \sin \sqrt{x} \) b. \( 3 \sin ^{3} x \) c. \( \sin \left(\sqrt{\sin \left(3 x^{3}\right)}\right) \)

To determine which composition created the function, we need to analyze the given options: a. \( \sin \sqrt{x} \) - This function takes the square root of \( x \) and then applies the sine function to that result. It is a straightforward composition of the square root function and the sine function. b. \( 3 \sin^{3} x \) - This function takes the sine of \( x \), raises it to the third power, and then multiplies the result by 3. This is a composition of the sine function and a power function, but it does not involve any nested functions like a square root. c. \( \sin \left(\sqrt{\sin \left(3 x^{3}\right)}\right) \) - This function is more complex. It first computes \( 3 x^{3} \), then takes the sine of that result, then takes the square root of that sine value, and finally applies the sine function again to that square root. This is a composition of multiple functions. Based on the analysis, option c, \( \sin \left(\sqrt{\sin \left(3 x^{3}\right)}\right) \), is the most complex composition and involves multiple layers of functions. If the question is asking which function is a composition of other functions, then the answer is: **c. \( \sin \left(\sqrt{\sin \left(3 x^{3}\right)}\right) \)**.