Match the following function Domain Range 1. coshx a) R 2. cosh−1x b) (0,∞) 3. sech−1 c) [1,∞) 4. coth−1 d) R−[−1,1]
A
c,a,d,b
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B
c,a,b,d
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C
a,c,d,b
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D
c,b,a,d
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Solution
The correct option is A c,a,b,d
cosh(x)=ex+e−x2 Hence domain is R and range is [1,∞) arcoth(x)=12ln(x+1x−1) ...(for|x|>1) Hence range is R−0. arcsech(x)=ln(1+√1−x2x) for 0Hence range is[0,∞).