Match the following Function
Domain Range
I. $s e c h x$ a) $R - [- 1, 1]$
II. $c o t h^{- 1} x$ b) $R - 0$
III. $c o s h^{- 1} x$ c) $R$
IV. $c o t h x$ d) $[1, \infty]$

I - c, I I - a, I I I - b, I V - d

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I - a, I I - c, I I I - b, I V - d

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I - a, I I - c, I I I - d, I V - b

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I - c, I I - a, I I I - d, I V b

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Solution

The correct option is C $I - c, I I - a, I I I - d, I V b$
I. $s e c h x$ domain $x ϵ R$
II. $c o t h^{- 1} x$ domain $x ϵ R - [- 1, 1]$
III. $c o s h^{- 1} x$ domain $x \geq 1$
IV. $c o t h x$ domain $x ϵ R - (0)$
[Remember all this things ]
or
[use, $s i n h x = \frac{e^{x} - e^{- x}}{2}, c o s h x = \frac{e^{x} + e^{- x}}{2}$ ]

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Match the following Function Domain RangeI. sechx a) R−[−1,1]II. coth−1x b) R−0III. cosh−1x c) RIV. cothx d) [1,∞]

The correct option is C I−c,II−a,III−d,IVbI. sechx domain xϵRII. coth−1x domain xϵR−[−1,1]III. cosh−1x domain x≥1IV. cothx domain xϵR−(0)[Remember all this things ]or[use, sinhx=ex−e−x2,coshx=ex+e−x2]

Match the following Function
Domain Range
I. $s e c h x$ a) $R - [- 1, 1]$
II. $c o t h^{- 1} x$ b) $R - 0$
III. $c o s h^{- 1} x$ c) $R$
IV. $c o t h x$ d) $[1, \infty]$