Home
Class 12
MATHS
[" Q.9Let "f(x)=(1)/(cos(x))]" where [y]...

[" Q.9Let "f(x)=(1)/(cos(x))]" where [y]and "{y}" denotegratest integer and factional part finctions respectively and "],[qquad g(x)=2x^(2)-3x(k+1)+k(3k+1)*" If "g(f(x))<0AA x in R" then find the number of integral value of "k]

Promotional Banner

Similar Questions

Explore conceptually related problems

9Let f(x)=1cos{x}where [y] and {y} denote greatest integer and fractional part functions respectivelyand g(x)=2x2 – 3x(k+1)+(3k + 1). If g(f(x)]lt0 Vxe Rthen find the number of integral valuesof k.

If f(x)=([{x}]tan^(-1)((x^(2)-3x-1)/(x^(2)-3x-5))+3-x^(7))^(1/7) . Where [k] and {k} denotes greatest integer and fractional part functions of k respectively, then the value of f^(-1)(50)-f(50)+f(f(100)) , is

Let f_(k)(x)=(1)/(k)(sin^(k)x+cos^(k)x) where x in R and k ge1 , then f_(4)(x)-f_(6)(x) equals

Let f_k(x)=(1)/(k)(sin^k x+ cos^k x) " where " x in R and k ge 1 . Then f_4(x)-f_6(x) equals

If y=f(x)=(2x-1)/(x-k), then f(y)=x given k=

Let g(x)=sqrt(x-2k),AA2k<=x<2(k+1) where k in integer.Check whether g(x) is periodic or not.

Let f_(k)(x)=(1)/(k)(sin^(k)x+cos^(k)x) where x in R and kge1 then f_(4)(x)-f_(6)(x) equals

Let f(x)=int e^(x^(2))(x-2)(x-3)(x-4)dx then f increases on (k,k+1) then k is

Let f_(4)(x) = (1)/(k) [ sin^(k) + cos^(k) x ] where x in RR and k ge 1. then f_(4)(x) - f_(6)(x) =