Home
Class 12
MATHS
Let f(x) = x - x^(2) and g(x) = {x}, AA ...

Let f(x) = `x - x^(2) and g(x) = {x}, AA x in R` where denotes fractional part function.
Statement I f(g(x)) will be continuous, `AA x in R`.
Statement II `f(0) = f(1) and g(x)` is periodic with period 1.

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x)=2x-{(pi)/(n)} and g(x)=cos x where {.} denotes fractional part function, then period of gof (x) is -

If f'(x)=(1-2sin^2x)/f(x), (f(x) ge 0, AA x in R and f(0)=1) then f(x) is a periodic function with the period

Let f(x) = e^(x) - x and g (x) = x^(2) - x, AA x in R . Then the set of all x in R where the function h(x) = (f o g) (x) in increasing is :

Let f(x+y)=f(x)+f(y) and f(x)=x^2g(x)AA x,y in R where g(x) is continuous then f'(x) is

Let f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x)AA x,y in R where g(x) is continuous then f'(x) is

Statement-1: Function f(x)=sin(x+3 sin x) is periodic . Statement-2: If g(x) is periodic then f(g(x)) periodic

Statement-1: Function f(x)=sin(x+3 sin x) is periodic . Statement-2: If g(x) is periodic then f(g(x)) periodic

Statement-1 : f(x) = [{x}] is a periodic function with no fundamental period. and Statement-2 : f(g(x)) is periodic if g(x) is periodic.

Statement-1 : f(x) = [{x}] is a periodic function with no fundamental period. and Statement-2 : f(g(x)) is periodic if g(x) is periodic.

Let g'(x)>0 and f'(x)<0AA x in R, then