What is the domain of the function?
f(x) square root of x+1 over (x+4)(x-6)

[-1,6)U(6, ∞)

Step-by-step explanation:

In functions that have a square root, the radicand (the inside of the root) has to be ≥0. Otherwise, you would be dealing with imaginary numbers.

So, in our function,

We have two factors in our denominator. Note that you cannot divide by 0. So to find where x cannot be, we have to set the denominator to 0.

X cannot be either -4 or 6.

So, x has to be greater than or equal to -1 and cannot equal -4 or 6.

x≥-1, x≠6

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the answer is 62.8 cubic units