For each function f, find f^-1 and the domain and range of both. Determine whether f^-1 is a function. f(x)=-2x+3 all under a square root?

domain-and-range

#1

For each function f, find f^-1 and the domain and range of both. Determinea function. f(x)=-2x+3 all under a square root?

Answer:

Domain of f. 2x-3> or = 0, therefore x > or = to 3/2, and that means the range of f is [0,infinity] (because our original condition was that the value under the square root had to be greater or equal to 0… (f^-1)(x)= (x^2-3)/2. The domain and range of any inverse is just the range and domain respectively of the original function.