Ask your homework questions to teachers and professors, meet other students, and be entered to win $600 or an Xbox Series X 🎉Join our Discord!



Numerade Educator



Problem 1 Easy Difficulty

If $f(x)=x+\sqrt{2-x}$ and $g(u)=u+\sqrt{2-u},$ is it true that $f=g ?$




You must be signed in to discuss.

Xingtao Y.

December 16, 2017

What if u is equal to one over x?


Sermera D.

June 29, 2020

All of these questions are answered for me... IS there anyway for me to answer myself?


Ali L.

September 29, 2020


Ali L.

September 29, 2020


Johnmil M.

October 17, 2020


David Base G.

October 27, 2020

Finally, now I'm done with my homework


Sharieleen A.

October 27, 2020

This will help a lot with my midterm

Video Transcript

when you have functions like F of X and G of axe and H of X, and so on. The letter you choose to use for the input is really arbitrary. There's nothing sacred about using X. There's nothing sacred about using you. So this function here, which is currently called F of X. It's the same function if I call it f of you. And if I replace all the exes with use, it means the exact same thing. And this function g over here, it's the exact same function. If I replace all the use with exes, so are these the same function G of X equals X plus two plus the square to minus U f of X equals X plus square to minus you. Yes, those are identical.

Oregon State University
Top Calculus 3 Educators
Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Samuel H.

University of Nottingham

Joseph L.

Boston College