What value of k would make these inverses? m(x) = 6x^2 – 12 and m^-1 = √((x/3k)+k) a.) k = -2 b.) k = 6 c.) k = 2 d.) k = 4

We are given function:

Let us find it's inverse.

In order to find it's inverse, we need to get function equal to y.

Switching x and y's .

Now, solving it for y.

Dividing both sides by 6, we get

Taking square root on both sides, we get

Re-writing in the form of given inverse.

On comparing with given M^-1 = √((x/3k)+k).

k=2.

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step-by-step explanation: