Find gof and fog, if f : R ->Rand g : R ...

Find gof and fog, if `f : R ->R`and `g : R ->R`are given by `f(x) = cos x`and `g(x)=3x^2`. Show that `gof!=fog`.

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The function f : R rarr R given by f(x) = 5-3 sin x

only one-one

only onto

both one-one and onto

neither one-one nor onto

Let, f : R rarr R be given by f(x) = tan x . Then f^-1(1) =

`pi/4`

`{n pi+pi/4 : n in Z}`

does not exist

none of these

Find gof and fog, if `f : R ->R`and `g : R ->R`are given by `f(x) = cos x`and `g(x)=3x^2`. Show that `gof!=fog`.

Answer

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The function f : R rarr R given by f(x) = 5-3 sin x

Let, f : R rarr R be given by f(x) = tan x . Then f^-1(1) =

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