SOLUTION: When graphing 2 functions: such as f(x)= sqrt(x) and g(x)= x^2, you can prove they are inverses if their reflections are around what line? Sketch both functions in the domain x>/=0

Question 1019935: When graphing 2 functions: such as f(x)= sqrt(x) and g(x)= x^2, you can prove they are inverses if their reflections are around what line? Sketch both functions in the domain x>/=0, and draw the line of reflection.
Thank you so much!!

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The line of reflection is:

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
state if the given functions are inverses f(x)=-5x... (answered by josgarithmetic)

Hi, I need some help deciding if these functions are inverses of each other. thank you!... (answered by jim_thompson5910)

are the two functions inverses f(x)=-2x+12 and g(x)=-(x/2)+6 (answered by ikleyn)

show that f(x)=sqrt(x-1) and g(x)=x^2+1 are... (answered by Shin123)

Use composition to determine if f(x)=3x and g(x)=-3x are inverses. A. No, they are not (answered by fractalier)

For each pair of functions f and g below, find f(g(x)) and g(f(x)). Then, determine... (answered by stanbon)

How do you determine whether or not the functions are inverses? f(x)=x^2-9... (answered by Fombitz)

Use the Property of Inverse Functions to show that f and g are inverses of each other: (answered by stanbon)

Hi, I have to decide whether or not the functions are inverses of each other.... (answered by stanbon)