Question

f(x)=√(x-3) what is the inverse and domain.

Answer 1

domain \(\bf f(x)=\sqrt{x-3}\) is all values for "x" that DO NOT MAKE THE RADICAND NEGATIVE
so... what do you think those would be?

Answer 2

I am not sure if it is x>= 11, or if is x>=0

Answer 3

Neither of those it would be

X has to be >=3 because anything less than 3 wold give you a negative number and you can't take the square root of a negative number.

Answer 4

Now to find the inverse of f(x)

First change f(x) to y

Switch places of y and x

Solve for y

Change y to f^-1(x)