[" Let "f:R rarr R-{3}" is a function satisfying "f(x+alpha)=(f(x)-5)/(f(x)-3)" for all "x in R," ten "],[1(A)" fis periodic with period "4 alpha" ."]

Let f:R rarr R-{3} be a function such that for some p>0,f(x+p)=(f(x)-5)/(f(x)-3) for all x in R. Then,period of f is

If f(2+x)=a+[1-(f(x)-a)^4]^(1/4) for all x in R ,then f(x) is periodic with period

If f:R rarr R-{3} be a function such that f(x+1)=(f(x)-5)/(f(x)-3)AA x in R, then

Let f be a function satisfying f(x)+f(x+1)+f(x+2)+.........+f(x+2015)=0AA X in R, then f(x) is periodic wit period

If f:R rarr R is a function satisfying the property f(x+1)+f(x+3)=2 for all x in R than fis (1) periodic with period 3(2) periodic with period 4(3) non periodic (4) periodic with period 5

Let f:R rarr R be a function satisfying condition f(x+y^(3))=f(x)+[f(y)]^(3) for all x,y in R If f'(0)>=0, find f(10)

Let f: R to R be a function such that for some p gt 0 , f(x+p) = (f(x)- 5)/( f(x) - 3) for all x in R . Then period of f is

Let f: R rarr R be a function satisfying 3f(x)+2f(-x)=x^2-x AA x in R then f(x) is

Let f:R-{0}rarr R be a function satisfying f((x)/(y))=(f(x))/(f(y)) for all x,y,f(y)!=0 .If f'(1)=2024 ,then

If f:R->R is a function satisfying the property f(x+1)+f(x+3) = 2 for all x in R than fi s (1) periodic with period 3. (2) periodic with period 4. (3) non periodic. (4) periodic with period 5.