Function questions
503 published questions with worked solutions.
- Let f(x)= ( 6 ( 2 x ) ) for all x R and g(x)= 2 x for all x R . Let (f g)(x) denote f(g(x)) and (g f)(x) denote g(f(x)). Then...
- The relation f and g are defined by f(x) = cases x^2, & 0 x 3 3x, & 3 x 10 cases and g(x) = cases x^2, & 0 x 2 3x, & 2 x 10 cases...
- A function f is defined by f(x) = 2x - 5, then
- The domain and range of the real function 9 - x^2 are refer to
- The domain of the function f, defined by f(x) = 1 x - |x| is
- If f(x) = x+1 x-1 , then the domain of f(x) is
- The domain of the function f(x) = x^2 + 2x + 1 x^2 - 8x + 12 is
- The domain of the real function f defined by f(x) = x - 1 is
- The domain of (x - 5) is
- 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
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