Let the function `f(x) = {1,if x<=3 and ax+b, if 3 < x < 5 and 7, if 5 le x` be continuous find the value of `a and b`

Let the function f(x) = tan^(1-) (sin x + cos x) be defined on [ 0, 2 pi] Then f(x) is

Let the function f(x)=|x+1| . The number of values of x in [-2,2] for which f(x-3),f(x-1) and f(x+1) are in the arithmetic progression is

Let the function f(x)=|x+1| . The number of values of x in [-2,2] for which f(x-3),f(x-1) and f(x+1) are in the arithmetic progression is

Let [x] denote the integral part of x in R and g(x)=x -[x] . Let f(x) be any continous function with f(0) =f(1), then the function h(x) = f(g(x))

Let the function f(x)=x^(2)sin((1)/(x)), AA x ne 0 is continuous at x = 0. Then, the vaue of the function at x = 0 is

Let the function f(x)=x^(2)sin((1)/(x)), AA x ne 0 is continuous at x = 0. Then, the vaue of the function at x = 0 is

Let f be the function f(x)=cosx-(1-(x^2)/2)dot Then (a) f(x) is an increasing function in (0,oo) (b) f(x) is a decreasing function in (-oo,oo) (c) f(x) is an increasing function in (-oo,oo) (d) f(x) is a decreasing function in (-oo,0)

Let f be the function f(x)=cosx-(1-(x^2)/2)dot Then f(x) is an increasing function in (0,oo) f(x) is a decreasing function in (-oo,oo) f(x) is an increasing function in (-oo,oo) f(x) is a decreasing function in (-oo,0)

Let f be the function f(x)=cosx-(1-(x^2)/2)dot Then (a) f(x) is an increasing function in (0,oo) (b) f(x) is a decreasing function in (-oo,oo) (c) f(x) is an increasing function in (-oo,oo) (d) f(x) is a decreasing function in (-oo,0)

Let [x] denote the integral part of x in R and g(x) = x- [x] . Let f(x) be any continuous function with f(0) = f(1) then the function h(x) = f(g(x) :