Question

If (u(x) = -2x² + 3) and (V(x) = ), what is the range of ((V circ u)(x))?

A. (3.00)
B. (-0,3)
C. ((-[infinity],+[infinity]))
D. None of the above

Answer 1

To find the range of the composition (V circ u)(x), we need to substitute the expression for u(x) into V(x). Since we do not have the expression for V(x), we cannot determine the range of (V circ u)(x) without further information.

Step-by-step explanation:

To find the range of the composition (V circ u)(x), we need to substitute the expression for u(x) into V(x). The composition (V circ u)(x) can be written as V(u(x)).

Substituting u(x) = -2x² + 3 into V(x), we get V(-2x² + 3). So the range of (V circ u)(x) will be the set of output values of V(-2x² + 3).

Since we do not have the expression for V(x), we cannot determine the range of (V circ u)(x) without further information. Therefore, the correct answer is D. None of the above.