Mathematics questions
18011 published questions with worked solutions.
- The function f(x)= _ 10 (x+ x^2+1 ) is
- If T_1 is the period of the function f(x)=e^ 3(x-[x]) and T_2 is the period of the function g(x)=e^ 3x-[3x] ([ ] denotes the...
- If f(x)= ( x), then the value of f(xy)+f(x/y)-2f(x) ( y) is
- If x+ x and | x|+| x| are periodic functions with the same period, then =
- The function f(x)= ^4x+ ^4x x^3+x^4 x is
- The set of values of x for which the function f(x)= 1x+2^ ^ -1 x + 1 x-2 exists is
- The domain of definition of f(x)= ^ -1 (|x-1|-2) is
- f(x)= ^ -1 ( _2x) exists for
- The domain of definition of the real function f(x)= _ 12 x^2 of the real variable x is
- The function f(x)= ^4x+ cosec ^4x x^3+x^4 x is
- The period of f(x)= ( x n-1 )+ ( x n ), n Z, n>2, is
- The domain of the function f(x)= ^ -1 (3-x) _e(|x|-2) is
- The domain of definition of f(x)= _ 1.7 ( 2- '(x) x+1 )^ 1/2 , where (x)= x^3 3 - 3x^2 2 -2x+ 32, is
- The maximum possible domain D and the corresponding range E for the real function f(x)=(-1)^x to exist is
- The set of values of a for which the function f(x)= x+ [ x^2 a ] defined on [-2,2] is an odd function is
- The function f(x)= (1-x),(1+x),2 , x (- , ), is equivalent to
- If f(x)= |3^x-3^ 1-x |-2 and g(x)= x, then the domain of f g(x) is
- If a,b are two fixed positive integers such that f(a+x)=b+ [b^3+1-3b^2f(x)+3b f(x) ^2- f(x) ^3 ]^ 1/3 for all x R, then f(x) is a...
- The domain of definition of the function f(x)=x 1+2(x+4)^ -0.5 2-(x+4)^ 0.5 +(x+4)^ 0.5 +4(x+4)^ 0.5 is
- If f(x)=x^3-x and (x)= 2x, then