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Let f(x),g(x),h(x) and R(x) be four func...

Let `f(x),g(x),h(x)` and `R(x)` be four functions `f(x)=e^({2x})`
where {.} represents fraction function.
`g(x)=|sin pi x|+|cos pi x|+tan pix, h(x)=e^({x})+sin(4pix),R(x)=sqrt(sin^(2)4pix)`
Column I: contains functions
Column II: contains domain of the functions
Column III: contains fundamental period of the function.

Which of the following options is the only CORRECT combinaton?

A

(III)(ii)(R)

B

(III)(i)(R)

C

(IV)(i)(R)

D

(IV)(i)(P)

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