SOLUTION: Age problem: The relationship between the age of a man and his son us given by f(x)=x+21 What does f^-1(x) represents if f(x) is the age of the father? What is f^-1(x)? Find f^-

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Question 1169781: Age problem: The relationship between the age of a man and his son us given by f(x)=x+21
What does f^-1(x) represents if f(x) is the age of the father?
What is f^-1(x)?
Find f^-1(5).
Graph the two functions f(x) and f^-1(x) on the same xy-plane.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%2B21

f%5E-1%28x%29 -> inverse
f%28x%29=y
y=x%2B21+swap variables
x=y%2B21 ...solve for y
x-21=y+
=> f%5E-1%28x%29+=x-21

Find f%5E-1%285%29
f%5E-1%285%29+=5-21
f%5E-1%285%29+=-16
+graph%28+600%2C+600%2C+-25%2C+25%2C+-25%2C+25%2C+x%2B21%2C+x-21%29+