Please help me understand how given domain restrictions changes how I solve for an inverse function?
I am given
f(x) = x2 + 1, (-infinity, 0]
I understand that to find the inverse, I will interchange x/y variables and solve for y.
x = y2 + 1
solve to:
y = +(square root of x - 1), -(square root of x-1)
What I do not understand, is how the domain restriction changes how I solve this equation? (if it does?)
I am given
f(x) = x2 + 1, (-infinity, 0]
I understand that to find the inverse, I will interchange x/y variables and solve for y.
x = y2 + 1
solve to:
y = +(square root of x - 1), -(square root of x-1)
What I do not understand, is how the domain restriction changes how I solve this equation? (if it does?)