Let `f(x)` be an increasing function defined on `(0,oo)` . If `f(2a^2+a+1)>f(3a^2-4a+1),` then the possible integers in the range of `a` is/are (a)`1` (b) 2 (c) 3 (d) 4

Let f(x) be a non-constant twice differentiable function defined on (oo, oo) such that f(x) = f(1-x) and f"(1/4) = 0 . Then

The domain and range of the real function f defined by f(x)=(1)/(4x^(2)-1) are

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^2-3t+2)dt,x in [1,3] Then the range of f(x), is

Let f(x) be a function defined by f (x)=int_1^x x(x^2-3x+2)dx, 1 leq x leq 4 . Then, the range of f(x) is

Let f (x) be a twice differentiable function defined on (-oo,oo) such that f (x) =f (2-x)and f '((1)/(2 )) =f' ((1)/(4))=0. Then int _(-1) ^(1) f'(1+ x ) x ^(2) e ^(x ^(2))dx is equal to :

If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5 , then the range of f is

Let f : [2, 4) rarr [1, 3) be a function defined by f(x) = x - [(x)/(2)] (where [.] denotes the greatest integer function). Then f^(-1) equals

If f:[3,oo)toR is a function defined by f(x)=x^(2)-2x+6 , then the range of f is

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5