Question

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17. Find (f/g)(X) for the following functions.

Answer 1

The answer is 3rd point.

Explanation:

As you already know how to find (f/g)(x). By looking at the last part of each expression, you can find out the answer :

x² = -1/14

x = √(-1/14) (rej)

You can let any value equals to x² but not a negative value. Beacuse you cannot square root a negative value, it will gives you a MATHS ERROR.

Answer 2

Option 3

Explanation:

(f/g)(x) = f(x)/g(x)

Since g(x) is in the denominator, it can't be 0.

(Functions is undefined when the denominator = 0)

This fraction becomes undefined when:

-14x² - 1 = 0

14x² = -1

x² = -1/14

So x² should not be -1/14