Function questions
503 published questions with worked solutions.
- If the function f:R A given by f(x)= x^2 x^2+1 is a surjection, then A=
- The function f(x)=| x| is periodic with period
- The period of the function f(x)= ^4x+ ^4x is
- 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 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 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 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
- 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
- If a function f(x) is defined for x [0,1], then the function f(2x+3) is defined for
- The period of ^2 is
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