MHT CET questions
29293 published questions with worked solutions.
- If f(x) = x^3 - 1 x^3 , then f(x) + f ( 1 x ) is equal to
- Let f = (1, 1), (2, 3), (0, -1), (-1, -3) be a function from Z to Z defined by f(x) = ax + b for some integers a and b. Then, the...
- Let f = (x, x^2 1 + x^2 ) : x R be a function from R to R. Then, the range of f is
- Find the domain of the function f(x) = x^2 + 1 x^2 - 3x + 3
- If _ 10 2 = 0.3010, then the number of digits in 20^ 64 is
- If _ 0.04 (x - 1) _ 0.2 (x - 1), then x belongs to the interval
- The domain of f(x) = 6 - 2^x - 2^ 3-x is
- The domain of f(x) = _ x+5 (x^2 - 4) is
- If _a(ab) = x, then what is _b(ab) equal to?
- If f(x) = x^2, then the value of f(1.1) - f(1) (1.1 - 1) is
- The function f(x) = 5x^2 and g(x) = 4 - x . Then, domain of ( f g )(x) is
- A function f : X Y is said to be onto, if for every y Y, there exists an element x in X such that
- The function f : R R defined by f(x) = x x^2 + 1 x R is
- If f(x) = 1 2 - ( x 2 ), -1 < x < 1 and g(x) = 3 + 4x - 4x^2 , then domain (f + g) is given by
- If the function gof is defined and onto, then
- Let X = 1, 2, 3 and Y = a, b, c and f : X Y be one-one and onto function given by f(1) = a, f(2) = b, f(3) = c. Then, the...
- A function f : X Y is said to be invertible, if there exists a function g : Y X such that
- Let f : R R be given by f(x) = x. Then, f^ -1 (1) is
- Let A = R - 3 and B = R - 1 . If f : A B defined by f(x) = x - 2 x - 3 is invertible then the inverse of f is
- The domain of the function f(x) = x is