Question

What is the zero of the function represented by this graph

Answer 1

The person above me is correct ^^

Answer 2

Answer: Choice D)
`g^(5/6)`

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Step-by-step explanation:

The 6 is the index of the root, so we have a 6th root

We would use the rule
`\sqrt[n]{x^m} = x^(m/n)`

Note how the index n moves to the denominator when we form the fraction m/n. The fraction m/n is the exponent.

So in this case, we can say,

`\sqrt[6]{g^5} = g^(5/6)`

which matches with choice D.

The requirement that g > 0 is to ensure that we don't have a negative under the square root. Applying the square root to a negative number leads to a complex number. If we want the result to be a real number, we need to have the stuff under the square root be 0 or positive.