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

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)= x-2, g: R rarr R, g(x)= x + 2 then (f+ g) (x) = ……..

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof. Also, find the domain of the functions (fog)^(-1) and (gof)^(-1) .

The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to R, g(x)=x^(2) , is

Let R be the set of real numbers. Define the real function f: R to R by f(x)=x+10 and sketch the graph of this function.

Find the range of f: R rarr R, f(x)= x^(2)-6x+ 7

f : R rarr R , f(x) = cos x and g : R rarr R , g(x) = 3x^(2) then find the composite functions gof and fog.

If f(x) = 8x^3 and g(x) =x^(1/3) then find gof and fog .

f: R rarr R, f(x)= |x+2| . Draw the graph of f(x) and hence find its range.

f: R^(+)cup{0} rarrR^(+)cup{0},f(x) = sqrtx . g : R rarr R , g(x)=x^2 -1 then find fog .