SOLUTION: Find the inverse of the one-to-one function. f(x)= \sqrt(x+5)

Algebra ->  Inverses -> SOLUTION: Find the inverse of the one-to-one function. f(x)= \sqrt(x+5)      Log On


   

Question 1178866: Find the inverse of the one-to-one function.
f(x)= \sqrt(x+5)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=sqrt%28x%2B5%29

f%28x%29=y
y=sqrt%28x%2B5%29........swap variables
x=sqrt%28y%2B5%29..........solve for y
x=sqrt%28y%2B5%29....square both sides
x%5E2=y%2B5
y=x%5E2-5 ->inverse

f'%28x%29=x%5E2-5