If `f(x0a n dg(x)=f(x)sqrt(1-2(f(x))^2)` are strictly increasing `AAx in R ,` then find the values of `f(x)dot`

If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int_(-1)^1f(x)dxdot

If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int_(-1)^1f(x)dxdot

If f(x+f(y))=f(x)+yAAx ,y in Ra n df(0)=1, then find the value of f(7)dot

If f(x+f(y))=f(x)+yAAx ,y in R a n df(0)=1, then find the value of f(7)dot

If f(x) is differentiable and strictly increasing function, then the value of ("lim")_(xvec0)(f(x^2)-f(x))/(f(x)-f(0)) is 1 (b) 0 (c) -1 (d) 2

Prove that the function f(x)=(log)_e(x^2+1)-e^(-x)+1 is strictly increasing AAx in Rdot

Prove that the function f(x)=(log)_e(x^2+1)-e^(-x)+1 is strictly increasing AAx in Rdot

Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot Then find the value of f(0)dot

If f(x) is continuous function AAx in R and the range of f(x) is (2,sqrt(26)) and g(x)=[(f(x))/c] is continuous AAx in R , then find the least positive integral value of c , where [dot] denotes the greatest integer function.