JEE Advanced questions
3844 published questions with worked solutions.
- Let f(x) be a function whose domain is [-5, 7]. Let g(x) = |2x+5|. Then the domain of (f g)(x) is
- Let f : (- , 1] (- , 1] such that f(x) = x(2-x). Then f^ -1 (x) is
- If f(x) = 3x - 5 then f^ -1 (x)
- If the function f : R R be such that f(x) = x - [x], where [y] denotes the greatest integer less than or equal to y, then f^ -1...
- The inverse function of the function f(x) = e^ x - e^ -x e^ x + e^ -x is
- If f(x) = ^2 x + ^2 ( 3 + x ) - x ( 3 + x ) then
- If one of the roots of x^2 + f(a) x + a = 0 is equal to the third power of the other for all real a then
- If f is an even function defined on the interval (-5, 5) then a value of x satisfying the equation f(x) = f ( x+1 x+2 ) is
- If f(x) = 27x^3 + 1 x^3 and , are the roots of 3x + 1 x = 2 then
- If f(x) = ^ -1 ( x) then
- If f(x) is an odd function then
- Let f(x) = ^ -1 [1 + ^2 x] where [ ] denotes the greatest integer function. Then
- If f(x) and g(x) are two functions of x such that f(x) + g(x) = e^ x and f(x) - g(x) = e^ -x then
- Let f(x+y) = f(x) + f(y) for all x, y R . Then
- Let f and g be functions from the interval [0, ) to the interval [0, ), f being an increasing function and g being a decreasing...
- If y = (1+x)(1+x^2)(1+x^4) (1+x^ 2^n ) then dy dx at x=0 is
- If y = | x| + | x| then dy dx at x = 2 3 is
- If f(x) = x 2x 4x 8x 16x then f' ! ( 4 ) is
- If y = ^ -1 ( x) then dy dx at x = 5 4 is equal to
- If y = ( ^ 1 x) then dy dx at x=1 is equal to