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

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

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Answer 1 · 2018-06-18T04:54:37

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)

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

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