JEE Main questions
34495 published questions with worked solutions.
- f(x)=x+ x^2 is a function from R to R, then f(x) is
- The function f:R R given by f(x)=x^3-1 is
- Let f(x)= cases x, & x rational 0, & x irrational cases and g(x)= cases 0, & x rational x, & x irrational cases . Then f-g is
- For real x, let f(x)=x^3+5x+1. Then
- The function f:X Y defined by f(x)= x is one-one but not onto, if X and Y are respectively equal to
- If f:[0, ) [0, ) and f(x)= x 1+x , then f is
- On the set of integers Z, define f:Z Z as f(n)= cases n 2 , & n is even 0, & n is odd cases , then f is
- Let R and C denote the set of real numbers and complex numbers respectively. The function f:C R defined by f(z)=|z| is
- If f:[2,3] R is defined by f(x)=x^3+3x-2, then the range of f(x) is contained in the interval
- If f:N Z is defined by f(n)= cases 2, & n=3k, k Z 10, & n=3k+1, k Z 0, & n=3k+2, k Z cases , then n N:f(n)>2 is equal to
- The domain of the function f(x)= _ (2x-1) (x-1) is
- Let f be a function with domain [-3,5] and let g(x)=|3x+4|. Then the domain of (f g)(x) is
- Let f(x)=1- ( x 2 ), -1<x<1, and g(x)= 3+4x-4x^2 . Then dom (f+g) is given by
- The largest possible set of real numbers which can be the domain of f(x)= 1- 1 x is
- The period of the function f(x)=| x|+| x| is
- Domain of the function f(x)= 2-2x-x^2 is
- The domain of definition of the function f(x)= 1+ _e(1-x) is
- The function f(x)= [ (x+ 1+x^2 ) ] is
- If f:R S, defined by f(x)= x- 3 x+1, is onto, then the interval S is
- If f:R R is defined by f(x)=[2x]-2[x] for all x R, where [x] is the greatest integer not exceeding x, then the range of f is