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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

Respuesta :

kudzordzifrancis

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.



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