Let `f(x)=` minimum `(x+1, sqrt(1-x)` for all `x <= 1` then the area bounded by `y=f(x)` and the x-axis, is

Let f(x)=minimum{|x|,1-|x|,(1)/(4)} for x varepsilon R then the value of int_(-1)^(1)f(x)dx is equal to

Let f(x) = sqrt(1-sqrt(1-x^2) then f(x) is

Let 'f' be a real valued function defined for all x in R such that for some fixed a gt 0, f(x+a)= 1/2 + sqrt(f(x)-(f(x))^(2)) for all 'x' then the period of f(x) is

Let f(x) be defined for all x > 0 and be continuous. Let f(x) satisfies f(x/y)=f(x)-f(y) for all x,y and f(e)=1. Then

Let f be a real -valued function defined on the interval (-1, 1) such that e^(-x)f(x) = 2+int_(0)^(x) sqrt(t^(4) + 1)dt for all x in (-1, 1) and let f^(-1) be the inverse function of f. then show that (f^(-1)(2))^1 = (1)/(3)

Let f(x)=In(sqrt(2-x)+sqrt(1+x)), then

Let f be a real vlaued fuction with domain R such that f(x+1)+f(x-1)=sqrt(2)f(x) for all x in R , then ,