Practice questions
88551 published questions with worked solutions.
- Let f(x)= ^ 23 x- ^ 22 x and g(x)=1+ 12 ^ -1 |x|, then the number of values of x in the interval [-10 ,8 ] satisfying the...Not in JEE Main syllabus
- An even polynomial function f(x) satisfies f(x) f ( 1x )=f(x)+f ( 1x ) for all x 0, with f(4)=-255 and f(0)=1. Then the value of...
- If f(x) is an odd function, f(1)=3 and f(x+2)=f(x)+f(2), then the value of f(3) is
- Number of values of x for which | ||x^2-x+4|-2 |-3 |=x^2+x-12 is
- Number of integral values of x satisfying the inequality ( 34 )^ 6x+10-x^2 < 27 64 is
- Let f(x)=3x^2-7x+c, where c is a variable coefficient and x> 76. Then the value of [c] such that f(x) touches f^ -1 (x) is (where...
- The function f(x)= x+1 x^3+1 can be written as the sum of an even function g(x) and an odd function h(x). Then the value of...
- Number of integral values of a for which f(x)= ( _ 1/3 ( _7( x+a) ) ) is defined for every real value of x is
- The function f:R R defined by f(x)=6^x+6^ |x| is
- Let X and Y be subsets of R, the set of all real numbers. The function f:X Y defined by f(x)=x^2 for x X is one-one but not onto,...
- The inverse of the function f:R R given by f(x)= _a (x+ x^2+1 ) (a>0, a 1) is
- The function f:R R, defined by f(x)=[x], where [x] denotes the greatest integer less than or equal to x, is
- The function f: [- 12, 12 ] [- 2 , 2 ] defined by f(x)= ^ -1 (3x-4x^3) is
- Let f(x)=|x-1|. Then,
- The inverse of the function f(x)= 10^x-10^ -x 10^x+10^ -x +1 is given by
- If the function f:R R is defined by f(x)= ^2x+ ^4x, then f(R)=
- Let f:R R and g:R R be given by f(x)=3x^2+2 and g(x)=3x-1 for all x R. Then,
- If f(x)= 3x+2 5x-3 , then
- Which of the following functions is (are) not an injective map(s)?
- f:R R is a function defined by f(x)=10x-7. If g=f^ -1 , then g(x)=