Let `f(x)=2x+1.` Then the number of real number of real values of `x` for which the three unequal numbers `f(x),f(2x),f(4x)` are in G.P. is `1` b. `2` c. `0` d. none of these

Let f(x)=30-2x -x^3 , the number ofthe positive integral values of x which does satisfy f(f(f(x)))) gt f(f(-x)) is

Let f (x)= x^3 -3x+1. Find the number of different real solution of the equation f (f(x) =0

Let f(x)=a x^2+b x+a ,b ,c in Rdot If f(x) takes real values for real values of x and non-real values for non-real values of x , then a=0 b. b=0 c. c=0 d. nothing can be said about a ,b ,cdot

Let f(x)=a sin x+c , where a and c are real numbers and a>0. Then f(x)lt0, AA x in R if

Let f(x) be real valued and differentiable function on R such that f(x+y)=(f(x)+f(y))/(1-f(x)dotf(y)) f(0) is equals a. 1 b. 0 c. -1 d. none of these

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

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) .

R is the set of real number . Define the function f :R to R by f (x ) =x^2 + 3 find f(-1) and f(2)

Let A = {x_1, x_2, x_3, ,x_7},B={y_1, y_2, y_3} The total number of functions f: A->B that are onto and there are exactly three element x in A such that f(x)=y_2 is equal to a. 490 b. 510 c. 630 d. none of these

R is the set of real number . Define the function f: R to R by f (x ) =x^2 + 3 Draw the graph of f(x)