Question

if f(x)=x+sq root 2-x and g(u)= u+2-u is it true that f=g?

Answer 1

\[
f(x) = x+\sqrt{2}-x
\]And \[
g(u) = u+2-u
\]

Answer 2

\[
f=g\iff f(x)-g(x)=0
\]

Answer 3

\[
f(x)-g(x) = x+\sqrt{2}-x-(x+2-x) = \sqrt{2}-2 \neq 0
\]