What is the zero of the function represented by this graph

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Explanation:

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

We would use the rule

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,

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.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18