Question

if \[f:\mathbb{R} \rightarrow \mathbb{R}\] continuous then \[g(x):=e^{f(x)} \] also continous. True or False ?

Answer 1

It means that you can take every real number to function f and find some real value.
If you substitute that value in g(x) will you have a continuous function? this is graph of e^x:

Answer 2

that means the answer is true right ?

Answer 3

right

Answer 4

ok thx