Can anyone please help solve this? If f(x)= square root of x-6, find inverse f(x).?

Question

Please help!!

Answer 1

y=sqrt(x-6)
Next reverse the x and y to get: x=sqrt(y-6) now solve for y
x^2=y-6 so y=x^2+6 would be the inverse

Answer 2

To find the inverse function, just swap y with x:
y = SQRT (x-6) becomes x = SQRT (y-6). Solving for y,
x² = y-6
y = x² + 6

Answer 3

y = sqrt(x-6)
→ y² = x-6
→ x = y² + 6
So invf(y) = y² + 6