SOLUTION: How do I find the domains and ranges for the inverses of functions? For example, on my homework, I must find the inverse, state if it's a function, then state the domain and range.

Algebra ->  Rational-functions -> SOLUTION: How do I find the domains and ranges for the inverses of functions? For example, on my homework, I must find the inverse, state if it's a function, then state the domain and range.      Log On


   

Question 849754: How do I find the domains and ranges for the inverses of functions? For example, on my homework, I must find the inverse, state if it's a function, then state the domain and range.
My problem is k(x) = 10x + 5
I simplified it to f-1(x)=x-5/10 and determined that it was a function.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You might need to pay more attention to grouping associations.
If r%28x%29=k%5E-1%28x%29, then+k%28r%28x%29%29=10r%28x%29%2B5=x
10r%28x%29=x-5
r%28x%29=%28x-5%29%2F10

Yes, r(x) is a function. r%28x%29=%28x-5%29%2F10=%281%2F10%29x-1%2F2, a linear function.
Domain and range both are the set of all real numbers.