If $$f(x)=x+$$$$sin$$ ⁡x,$$g(x)=e$$−x,$$u=c+1$$−c,$$v=c$$−c−$$1$$,(c$$>$$1),then

Correct option is 3gof⁡(u)>gof⁡(v)

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If $f (x) = x + \sin x, g (x) = e^{- x}, u = \sqrt{c + 1} - \sqrt{c},$ $v = \sqrt{c} - \sqrt{c - 1}, (c > 1),$ then

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detailed solution

Correct option is C

u=c+1−c u=1c+1+c and v=1c−1+cClearly, ugof⁡(v)

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If f(x)=x+sin ⁡x,g(x)=e−x,u=c+1−c,v=c−c−1,(c>1),then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If $f (x) = x + \sin x, g (x) = e^{- x}, u = \sqrt{c + 1} - \sqrt{c},$ $v = \sqrt{c} - \sqrt{c - 1}, (c > 1),$ then