💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 1 Easy Difficulty

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

Answer

True.

Discussion

You must be signed in to discuss.
XY

Xingtao Y.

December 16, 2017

What if u is equal to one over x?

SD

Sermera D.

June 29, 2020

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

Al

Ali L.

September 29, 2020

Al

Ali L.

September 29, 2020

JM

Johnmil M.

October 17, 2020

DG

David Base G.

October 27, 2020

Finally, now I'm done with my homework

SA

Sharieleen A.

October 27, 2020

This will help a lot with my midterm

Alex L.

May 20, 2021

does it matter if you use different variables?

SJ

Sajit J.

July 23, 2021

At 0:37 did you mean 2-x instead of 2-u?

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.