MHT CET questions
29293 published questions with worked solutions.
- If _8 m + _8 1 6 = 2 3 , then m is equal to
- A function f : X Y is said to be one-one, if for every x_1, x_2 X,
- f : X Y is onto, if and only if
- The greatest integer function f : R R, given by f(x) = [x] is
- The function f(x) = x^2 + bx + c, where b and c are real constants, describes
- Which one of the following functions is one-one?
- If f : A B and g : B C be two functions, then the composition of functions f and g is given by
- If f : R R and g : R R are given by f(x) = x and g(x) = 3x^2, then
- If f : B A is defined by f(x) = 3x+4 5x-7 and g : A B is defined by g(x) = 7x+4 5x-3 , where A = R - 3 5 and B = R - 7 5 and I_A...
- If the function gof is defined and is one-one, then
- If f : X Y is a function such that there exists a function g : Y X such that gof = I_X and fog = I_Y, then f must be
- If f(x) = x and g(x) = 2x - 3, then domain of fog is
- If f(x) = (a - x^n)^ 1/n , where a > 0 and n N, then fof(x) is equal to
- If Y = n^2 : n N N and f : N Y is a function defined by f(n) = n^2, then the inverse of f is
- Let f : N S be a function defined as f(x) = 4x^2 + 12x + 15, where S R is the range of f. Then, inverse of f is
- Let f : R - - 4 3 R be a function defined as f(x) = 4x 3x+4 . The inverse of f is the map g : range f R - - 4 3 given by
- Let f : 1, 3, 4 1, 2, 5 and g : 1, 2, 5 1, 3 be given by f = (1,2), (3,5), (4,1) and g = (1,3), (2,3), (5,1) . Then, gof is
- Let f, g and h be functions from R to R. Then
- Which of the following functions is inverse of itself?
- Let f : R R be such that f(x) = 2^x. Then,