SOLUTION: Let f(x) = (x - 5)^2 Find a domain on which f is one-to-one and increasing. Use oo for infinity and -oo for negative infinity. part 2.. Find the inverse of f restricted t

Algebra ->  Functions -> SOLUTION: Let f(x) = (x - 5)^2 Find a domain on which f is one-to-one and increasing. Use oo for infinity and -oo for negative infinity. part 2.. Find the inverse of f restricted t      Log On


   

Question 976197: Let
f(x) = (x - 5)^2
Find a domain on which f is one-to-one and increasing. Use oo for infinity and -oo for negative infinity.
part 2..
Find the inverse of f restricted to this domain
f^(-1)( x ) =
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C200%2C-20%2C20%2C-20%2C20%2Cx%5E2-10x%2B25%29
Graphing it helps to see what is occurring. It is one to one AND increasing from (5, +oo)
inverse x= (y-5)^2, which is not a function in general.
at y=-1, x=36