If `intsinx d(secx)=f(x)-g(x)+c ,t h e n` `f(x)=secx` (b) `f(x)=tanx` `g(x)=2x` (d) `g(x)=x`

"If " int sinx d(secx)=f(x)-g(x)+c, then

If intsinx(d)/(dx)("sec x")dx=f(x)-g(x)+C , then

If f(x)=cos^2x+s e c^2x ,t h e n f(x)<1 (b) f(x)=1 (c) 2ltf(x)<1 (d) """"f(x)ge2

If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then (a) f(x)=sin^2x ,g(x)=sqrt(x) (b) f(x)=sinx ,g(x)=|x| (c) f(x) =x^2,g(x)=sinsqrt(x) (d) f and g cannot be determined

f(x)=(1+x) g(x)=(2x-1) Show that fo(g(x))=go(f(x))

If f(x)=log((1+x)/(1-x)),t h e n (a) f(x_1)f(x)=f(x_1+x_2) (b) f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^2+x) (d) f(x_1)+f(x_2)=f((x_1+x_2)/(1+x_1x_2))

If f(x) =x^(2) -2,g (x) =2x+ 1 then f^(@) g (x)

If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2 , then (A) f(g(x))=x^2,x!=0,h(g(x))=1/(x^2) (B) h(g(x))=1/(x^2),x!=0,fog(x)=x^2 (C) fog(x)=x^2,x!=0,h(g(x))=(g(x))^2,x!=0 (D) none of these

Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+f(x-y)= (A) 2f(x).f(y) (B) f(x).f(y) (C) f(x)/f(y) (D) none of these

If fogoh(x) is an increasing function, then which of the following is possible? (a) f(x),g(x),a n dh(x) are increasing (b) f(x)a n d h(x) are increasing and g(x) is decreasing (c) f(x),g(x),a n dh(x) are decreasing