SOLUTION: Question 3.7/10 Let f(x)=(x-5)2 Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f restricted to this domain f−1(x)=

Algebra ->  Finance -> SOLUTION: Question 3.7/10 Let f(x)=(x-5)2 Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f restricted to this domain f−1(x)=      Log On


   

Question 1187395: Question 3.7/10
Let
f(x)=(x-5)2
Find a domain on which f is one-to-one and non-decreasing.

Find the inverse of f restricted to this domain f−1(x)=
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=%28x-5%29%5E2 -> a domain will be all real numbers R
Find a domain on which f+is one-to-one and non-decreasing will be restricted
0=%28x-5%29%5E2
x-5=0
x=5
a domain on which f is one-to-one and non-decreasing is all x%3E=5
[5,infinity)


Find the inverse of f restricted to this domain f^-1(x)=
recall that f%28x%29=y
y=%28x-5%29%5E2 ......swap variables
x=%28y-5%29%5E2.......solve for y
y-5=sqrt%28x%29
y=sqrt%28x%29%2B5


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