If u (x) = negative 2 x^2 and v (x) = 1/x, what is the range of (uov)(x)?

a. ( 1/3, 0 )
b. ( 3, infinite )
c. ( -infinite, 3 )
d. ( -infinite, infinite)

None of the options presented is the correct answer

Step-by-step explanation:

Composite Function

Given two functions u(x) and v(x), we call the composite function to the expression u(v(x)) and =v(u(x)).

We are given

LEt's compute the composite function

This function doesn't exist for x=0. For any other value of x, the denominator is always positive, and the function is always negative. When x tends to infinite (positive or negative), the function tends to zero. So the range of the composite function is

None of the options presented is the correct answer

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step-by-step explanation:

good luck

answer for #1 is c

answer for #2 is d

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