[" 12.If "f:R rarr R" where "f(x)=x^(2)" and "g:R rarr R" where "],[g(x)=2x+5" ,then prove that "gof=2x^(2)+5.]

f: R rarr R , f(x) = x^(2)+2 and g :R rarr R , g (x) = x/(x-1) then find fog and gof.

If f:R rarr R,f(x)=2x-1 and g:R rarr R,g(x)=x^(2) then (gof)(x) equals

If f : R rarr R, f(x) = x^(2) - 5x + 4 and g : R^(+) rarr R, g(x) = log x , then the value of (gof) (2) is

If f : R rarr R, f(x) = x^(2) - 5x + 4 and g : R^(+) rarr R, g(x) = log x , then the value of (gof) (2) is

Let f:R rarr R is defined by f(x)=3x-2 and g:R rarr R is defined by g(x)=(x+2)/3 . Show that f.g=g.f .

f:R rarrR , f(x) =x^(2) , g : R rarr R , g(x) = 2^(x) , then {x|(fog)(x) = (gof)(x)} = ............

f:R rarr R,f(x)=x^(3)+3x+2 and g:R rarr R such that f(g(x))=x. Then value of int_(2)^(6)g(x)dx is

If the function f:R rarr R be given by f(x)=x^(2)+2 and g:R rarr R be given by g(x)=(x)/(x-1). Find fog and gof.

If f : R rarr R be defined by f(x)=2x-3 and g : R rarr R be defined by g(x)= (x+3)/2 , show that fog=gof=I_R

Let R be the set of real numbers.If f:R rarr R:f(x)=x^(2) and g:R rarr R;g(x)=2x+1. Then,find fog and gof . Also,show that fog!=gof .