Mathematics questions
18011 published questions with worked solutions.
- The largest interval lying in (- 2 , 2 ) for which the function f(x)=4^ -x^2 + ^ -1 ( x 2 -1 )+ ( x) is defined, 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 function ^ -1 ( _2 x^2 2 ) 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
- The range of the function f(x)=x^2-6x+7 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 domain of the real valued function f(x)= 5-4x-x^2 +x^2 (x+4) is
- If f(x+y,x-y)=xy, then the arithmetic mean of f(x,y) and f(y,x) is
- The function f(x)= ( 1+x 1-x ) satisfies the equation
- If Q denotes the set of all rational numbers and f ( p q )= p^2-q^2 for any p q Q with p,q integers, q>0 and (p,q)=1, then...
- 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