SOLUTION: f(x)=x²+1, where x>0 is the function defined by the graph below. find f-¹, then graph it using the same graph below

Algebra ->  Rational-functions -> SOLUTION: f(x)=x²+1, where x>0 is the function defined by the graph below. find f-¹, then graph it using the same graph below       Log On


   

Question 1187951: f(x)=x²+1, where x>0 is the function defined by the graph below. find f-¹, then graph it using the same graph below
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E2%2B1, where x%3E0
inverse
f%28x%29=y
y=x%5E2%2B1.....swap variables
x=y%5E2%2B1........solve for y
y%5E2=x-1
y=sqrt%28x-1%29
=>f%5E-1%28x%29=sqrt%28x-1%29

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