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

Jun 18, 2018

Dom(g)=R
Range(g)=$\left\{y | - 1 \le y \le 1\right\}$

#### Explanation:

Domain of cos(t) is R.
So, the Domain of function g is $\left(\frac{1}{t}\right) \in R$
for all $t \in R$, $\left(\frac{1}{t}\right) \in R$ is satisfied.
We can express every element of set $R$ with $\frac{1}{t}$.
Range of function g is same as Range of cos(t)