What is the inverse function of y = √ x - 1 2, x ≥ 1 2a. y=x2-14, x≥0 b. y=x2-12, x≥0 c. y=x2+12, x≥0 d. y=x2+14, x≥0

The function is:

y = √ (x-12), x≥12

To find the inverse function, we interchange x and y, and then make y the subject again.

So interchanging x and y we have:

x = √ (y-12)

Squaring both sides gives;

x² = y-12

Now making y the subject we have,

y = x² + 12

x≥0.

Therefore the inverse function is;

y = x² + 12, x≥0.

Hence the correct answer is C.