Mathematics questions
18011 published questions with worked solutions.
- The function f:R R defined by f(x)=(x-1)(x-2)(x-3) is
- Let A=R- 3 , B=R- 1 . Let f:A B be defined by f(x)= x-2 x-3 . Then,
- A mapping f:N N, where N is the set of natural numbers, is defined as f(n)= cases n^2, & n odd 2n+1, & n even cases for n N....
- Which of the following functions is one-to-one?
- 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