Question

Determine (if possible) the zeros of the function g when the function f has zeros at 

x = r1, x = r2, and x = r3.

 (Enter your answers as a comma-separated list. If not possible, enter IMPOSSIBLE.)

g(x) = 2f(x)​

Answer 1

Answer:

Determine (if possible) the zeros of the function g when the function f has zeros at 

x = r1, x = r2, and x = r3.

 (Enter your answers as a comma-separated list. If not possible, enter IMPOSSIBLE.)

g(x) = 2f(x)

Answer 2

If f(x) has zeros at x = r1, x = r2, and x = r3, it means that f(r1) = f(r2) = f(r3) = 0.

We are given the function g(x) = 2f(x). To find the zeros of g(x), we need to find the values of x for which g(x) = 0.

If g(x) = 2f(x) = 0, it means that f(x) = 0, since multiplying 0 by any number (including 2) gives 0.

Therefore, the zeros of g(x) are the same as the zeros of f(x), which are x = r1, x = r2, and x = r3.

In other words, the zeros of g(x) are r1, r2, and r3.

Therefore, the answer is: r1, r2, r3.

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