Function questions
503 published questions with worked solutions.
- 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,
- 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
- The domain of f(x) = 6 - 2^x - 2^ 3-x is
- The domain of f(x) = _ x+5 (x^2 - 4) 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...
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