Let `f(x)=sqrtx and g(x)=x` be two functions defined over the set of non-negative real numbers. Find `(f+g) (x), (f-g), (fg) (x) and (f/g) (x)`.

Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f-g) (x), (fg) (x), (f/g) (x) .

Let f(x)a n dg(x) be two continuous functions defined from RvecR , such that f(x_1)>f(x_2)a n dg(x_1) f(g(3alpha-4))

If f:R→R and g:R→R be two functions defined as below, then find fog(x) and gof(x); f(x)=2x+3,g(x)=x^2+5

Let f(x)=x^(3)+x+1 and let g(x) be its inverse function then equation of the tangent to y=g(x) at x = 3 is

Let f(x)=x/(1+x) and let g(x)=(rx)/(1-x) , Let S be the set off all real numbers r such that f(g(x))=g(f(x)) for infinitely many real number x. The number of elements in set S is

Let f be a function defined on [0,2]. Then find the domain of function g(x)=f(9x^2-1)

Let f and g be two functions from R to R defined by f (x) = 2x + 3 and g(x) = x^(2) . Find fcircg and gcircf .

Let f be a function defined on R (the set of all real numbers) such that f^(prime)(x)=2010(x-2009)(x-2010)^2(x-2011)^3(x-2012)^4, for all x in Rdot If g is a function defined on R with values in the interval (0,oo) such that f(x)=ln(g(x)), for all x in R , then the number of point is R at which g has a local maximum is ___

Let f and g be two functions from R to Rdefined by f(x) = 3x – 2 and g(x) = x^(2)+3 . Then gcircf is: