Mathematics questions
18011 published questions with worked solutions.
- The domain of definition of the function f(x)= ^ -1 ( x-3 2 )- _ 10 (4-x) is
- Let f:R R be a function defined by f(x)=- |x|^3+|x| 1+x^2 , then the graph of f(x) lies in the
- If f(x) and g(x) are two real functions such that f(x)+g(x)=e^x and f(x)-g(x)=e^ -x , then
- If f(x) is defined on [0,1], then the domain of f(3x^2) is
- Which of the following functions is periodic?
- The value of n Z (the set of integers) for which the function f(x)= nx ( x n ) has 4 as its period is
- If f:N N is defined by f(n)= the sum of positive divisors of n, then f(2^k 3), where k is a positive integer, is
- The domain of definition of the function f(x)=x^ 1 _ 10 x is
- Let the function f(x)=3x^2-4x+8 (1+|x|) be defined on the interval [0,1]. The even extension of f(x) to the interval [-1,0) is
- The period of the function f(x)=| 3x|+| 3x| is
- f:[-4,0] R is given by f(x)=e^x+ x. Its even extension to [-4,4] is
- The function f(x)=x[x] is
- The domain of the function f(x)= - _ 0.3 (x-1) -x^2+3x+18 is
- The domain of definition of the function f(x)= ^ 7-x P_ x-3 is
- The domain of definition of the function f(x)= _3 - _4 ( 6x-4 6x+5 ) is
- The equivalent definition of f(x)= ||x|-1 | is
- The function f(x)= ( x) + ^ -1 ( 1+x^2 2x ) is defined for
- The range of f(x)= ( 4 ^2x ), - <x< , is
- If x R, then f(x)= ^ -1 ( 2x 1+x^2 ) is equal to
- The period of the function f(x)= ^43x+ ^43x is