If `f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c)`, `v=sqrt(c)` `-sqrt(c-1),(c >1),` then (a)`fog(u) < fog(v)` (b)`gof(u) < gof(v)`(c) `gof(u) > gof(v)` (d) `fog(u) > fog(v)`

If f(x)=x+sinx,g(x)=e^(-x),u=sqrt(x+1)-sqrt(c )v=sqrt(c )-sqrt(c-1)(cgt1) , then

If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) v=sqrt(c) -sqrt(c-1),(c >1), then fog(u) gof(v) (d) fog(u)

If f(x) = x + sin x, g(x) = e^(-x), u = sqrt(c + 1) - sqrt(c), v = sqrt(c) - sqrt(c - 1), (c gt 1) then a)fog (u) lt fog (v) b)gof (u) lt gof (v) c)gof (u) gt gof (v) d)fog (u) lt fog (v)

If f(x)=x+sinx ,g(x)=-(x-2)^(1/3) ,u=sqrt(2001)-sqrt(2000) , v=sqrt(2000)- sqrt(1999) then (a) fog(u) (c) gof(u) > gof(v) quad quad quad quad quad quad quad quad (d) None of these

If f is an increasing function AA x in R and u=sqrt(c+1)-sqrt(c);v=sqrt(c)-sqrt(c-1);(c>1) ,then

if int tan^(-1)sqrt(x)dx=u tan^(-1)sqrt(x)-sqrt(x)+c then u=

If f(x)=(x)/(sqrt(1-x^(2))), g(x)=(x)/(sqrt(1+x^(2))) then (fog)(x)=

Let u=sqrt(c+1)-sqrt(c)andv=sqrt(c)-sqrt(c-1),cgt1 and let f(x)=In (1+x),AAx in (-1,oo). Statement I f(u)gtf(v),AAcgt1 because Statement II f(x) is increasing ffunction, hence for ugtv,f(u)gtf(v).

Let u=sqrt(c+1)-sqrt(c)andv=sqrt(c)-sqrt(c-1),cgt1 and let f(x)=In (1+x),AAx in (-1,oo). Statement I f(u)gtf(v),AAcgt1 because Statement II f(x) is increasing ffunction, hence for ugtv,f(u)gtf(v).

If f(x)=(x)/(sqrt(1-x^(2))),g(x)=(x)/(sqrt(1+x^(2))) then ( fog )(x)=