Question

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

Answer 1

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.