Question

Details previous answers: My notes use the definitions listed in section 6.1.2 with f(x, y, z) = x² yz, f(x, y, z) = xy, yz, xz, and g(x, y, z) = -sin(z), exz, y. Compute the vector (f(f g))(2, 1, 1). (Your instructors prefer an)

Answer 1

The question appears to involve the composition of multivariable functions but is unclear due to possible typos. Therefore, a precise answer cannot be provided without additional context or corrected function definitions.

Step-by-step explanation:

The question seems to be related to multivariable calculus or vector calculus, focusing on the composition of functions. However, the question itself is somewhat unclear and possibly contains typos, as the notation for the functions f and g contains commas that don't seem to separate distinct functions or components. Additionally, the 'vector (f(f g))(2, 1, 1)' implies function composition and evaluation, yet the actual functions to compose are not well-defined based on the provided details. Assuming a standard interpretation where f and g are given functions like f(x, y, z) and g(x, y, z), we would first apply g to the point (2, 1, 1), then apply f to the result of g, and then apply f again to the result of the previous application of f. Without correct and complete functions, a specific answer cannot be reliably provided.