SOLUTION: Find a symbolic representation for q^-1(x) identify the domain and rage of q^-1(x) q(x)=(x-2)^2, x>_ 2 Either I was out to lunch for this one or I am making it way to hard..

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find a symbolic representation for q^-1(x) identify the domain and rage of q^-1(x) q(x)=(x-2)^2, x>_ 2 Either I was out to lunch for this one or I am making it way to hard..      Log On


   

Question 328864: Find a symbolic representation for q^-1(x)
identify the domain and rage of q^-1(x)
q(x)=(x-2)^2, x>_ 2
Either I was out to lunch for this one or I am making it way to hard...
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Note the domain, , the being specified as part of the function definition, and the range

Step 2: Replace with



Step 3: Solve for in terms of



Only the positive square root because of the restriction.



Step 4: Swap variables and replace with



The domain of the inverse is the range of the original function. The range of the inverse is the domain of the original function.

Domain:

Range:



John