Question

What is the domain and range of `g(t)= cos (1/t)`?

Answer 1

Dom(g)=R
Range(g)=`{y|-1<=y<=1}`

Explanation:

Domain of cos(t) is R.
So, the Domain of function g is `(1/t) in R`
for all `t in R`, `(1/t) in R` is satisfied.
We can express every element of set `R` with `1/t`.
Range of function g is same as Range of cos(t)