Function questions
503 published questions with worked solutions.
- If f(x)= 1 |x|-x , then the domain of f(x) is
- The period of the function f(x)=a^ ( x)+x-[x] , where a>0, a 1, [ ] denotes the greatest integer function and x is a real number,...
- The domain of the function f(x)= ^ -1 ( 1-|x| 2 ) is
- The domain of the function f(x)= _ 10 ( x-4 + 6-x ) is
- The period of the function f(x)= cosec ^23x+ 4x is
- The domain of the function f(x)= ^ -1 x [x] is
- The domain of the function f(x)= 4-x^2 ^ -1 (2-x) is
- The domain of the real valued function f(x)= 1-2x +2 ^ -1 ( 3x-1 2 ) is
- If the function f:R R is defined by f(x)=[x], where [x] is the greatest integer not exceeding x, for x R, then f is
- If f(x)= x+ x and g(x)=x^2-1, then g(f(x)) is invertible in the domain
- If f(x) is an odd periodic function with period 2, then f(4) equals
- The period of the function f(x)= ( x 5 ) is
- The function f(x)= ( 1+x 1-x ) satisfies the equation
- If f is a real valued function such that f(x+y)=f(x)+f(y) and f(1)=5, then the value of f(100) is
- If f:R R is defined as f(x)=(1-x)^ 1/3 , then f^ -1 (x) is
- If f:R R and g:R R are defined by f(x)=x-[x] and g(x)=[x] for x R, where [x] is the greatest integer not exceeding x, then for...
- If f(x)= 2x-1 x+5 (x -5), then f^ -1 (x) is equal to
- If f:[-6,6] R is defined by f(x)=x^2-3 for x R, then (f f f)(-1)+(f f f)(0)+(f f f)(1) is equal to
- If X and Y are two non-empty sets and f:X Y is a function such that f(C)= f(x):x C for C X and f^ -1 (D)= x:f(x) D for D Y, then...
- Let f:N Y be a function defined as f(x)=4x+3, where Y= y N:y=4x+3 for some x N . Then f is invertible and its inverse is
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