Function questions
503 published questions with worked solutions.
- Let f(x) = 3x + 3 ,x. Then f(x) is
- The function f(x) = x n! - x (n+1)! is
- The function f(x) = x - [x] + x, where [x] = the greatest integer less than or equal to x, is a
- Let f(x) = nx + n - [nx+n] + x 2 , where [x] is the greatest integer x and n N. It is
- Let f(x) = x(2-x), 0 x 2. If the definition of f is extended over the set R - [0, 2] by f(x+2) = f(x) then f is a
- If g f(x) = | x| and f g(x) = ( x )^2 then
- If f(x) = 1 1-x , x 0, 1, then the graph of the function y = f f(f(x)) , x > 1, is
- Let f(x) be a function whose domain is [-5, 7]. Let g(x) = |2x+5|. Then the domain of (f g)(x) is
- Let f : (- , 1] (- , 1] such that f(x) = x(2-x). Then f^ -1 (x) is
- If f(x) = 3x - 5 then f^ -1 (x)
- If the function f : R R be such that f(x) = x - [x], where [y] denotes the greatest integer less than or equal to y, then f^ -1...
- The inverse function of the function f(x) = e^ x - e^ -x e^ x + e^ -x is
- If f is an even function defined on the interval (-5, 5) then a value of x satisfying the equation f(x) = f ( x+1 x+2 ) is
- If f(x) is an odd function then
- Let f(x) = ^ -1 [1 + ^2 x] where [ ] denotes the greatest integer function. Then
- If f(x) and g(x) are two functions of x such that f(x) + g(x) = e^ x and f(x) - g(x) = e^ -x then
- Let f(x+y) = f(x) + f(y) for all x, y R . Then
- If for all x, y the function f is defined by f(x) + f(y) + f(x) f(y) = 1 and f(x)>0 then
- Let f(-x) = f(x). Then f'(x) must be
- The range of the function f(x) = |2x + 1| - 2|x - 1|, x R, is
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