Home
Class 12
MATHS
Consider two functions f(x)=1+e^(cot^(2)...

Consider two functions `f(x)=1+e^(cot^(2)x) " and " g(x)=sqrt(2abs(sinx)-1)+(1-cos2x)/(1+sin^(4)x).`
`bb"Statement I"` The solutions of the equation f(x)=g(x) is given by `x=(2n+1)pi/2, forall "n" in I.`
`bb"Statement II"` If `f(x) ge k " and " g(x) le k` (where k `in` R), then solutions of the equation f(x)=g(x) is the solution corresponding to the equation f(x)=k.

Promotional Banner

Similar Questions

Explore conceptually related problems

If the functions f(x)=x^(3)+e^(x//2) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : f/g .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : g/f .

Given f(x)= sqrt(8/(1-x)+8/(1+x)) and g(x) = 4/(f(sinx))+4/(f(cosx)) then g(x) is

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : fg .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : gf .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : f - g .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : g - f .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : f + g .

bb"Statement I" The period of f(x)=2cos""1/3(x-pi)+4sin""1/3(x-pi) " is " 3pi . bb"Statement II" If T is the period of f(x), then the period of f(ax+b) is T/abs(a) .