Function questions
503 published questions with worked solutions.
- Domain of definition of the function f(x) = 3 4 - x^2 + _ 10 (x^3 - x ), is
- A function f from the set of natural numbers to integers defined by f(n) = cases n-1 2 , & when n is odd - n 2 , & when n is even...
- If f : R S, defined by f(x) = x - 3 x + 1, is onto, then the interval of S is
- The graph of the function y = f(x) is symmetrical about the line x = 2, then
- The domain of the function f(x) = ^ -1 (x - 3) 9 - x^2 is
- A real valued function f(x) satisfies the functional equation f(x - y) = f(x)f(y) - f(a - x)f(a + y) where a is a given constant...
- Let f : N Y be a function defined as f(x) = 4x + 3, where Y = y N : y = 4x + 3 for some x N . Show that f is invertible and its...
- Let f(x) = (x + 1)^2 - 1, x -1 Statement-1: The set x : f(x) = f^ -1 (x) = 0, -1 Statement-2 : f is a bijection.
- The domain of the function f(x) = 1 |x| - x is
- For a suitable chosen real constant a, let a function f: R - - R be defined by f(x)= a-x a+x . Further suppose that for any real...
- The domain of definition of f(x) = _2(x+3) x^2+3x+2 is
- If g(x)=x^2+x-1 and (g f)(x)=4x^2-10x+5 then f(2) is equal to
- If f(x) = x 2 - x , g(x) = x + 1 x + 2 , then (g g f)(x) =
- If f(x)=e^ |x| , g(x)= x, then (g f)(x)=
- The domain and range for the function f(x)=e^ |x| x are domain = IR
- If f(x)= a^ x -a^ -x a^ x +a^ -x where a, x satisfy the necessary conditions, then f^ -1 (x)=
- If R denotes the set of all real numbers then the function f : R R defined by f(x) = |x| is
- The domain of the definition of the function f(x)= 1 4-x^2 + _ 10 (x^3-x) is
- f: IR - (- 35 ) IR is defined by f(x)= 3x-2 5x+3 , then f f(1) is
- The domain of definition of the function f(x) given by the equation 2^x + 2^y = 2
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