Let `y=f(x)` and `y = g(x)` be two monotonic, bijective functions such that `f(g(x)` is defined than `y=f(g(x))` is

Let f(x) and g(x) be two continuous functions defined from R rarr R, such that f(x_(1))>f(x_(2)) and g(x_(1)) f(g(3 alpha-4))

Let f and g be two real functions;such that fog is defined.If g is continuous at x=a and f is continuous at g(a); show that fog is continuous at x=a

Let f(x) and g(x) be two functions such that g(x)=([x]f(x))/([x]f(x)) and g(x) is a periodic function with fundamental time period 'T', then minimum value of 'T is

Let f(x) be a function such that f(x), f'(x) and f''(x) are in G.P., then function f(x) is

Let f :R to R be a continous and differentiable function such that f (x+y ) =f (x). F(y)AA x, y, f(x) ne 0 and f (0 )=1 and f '(0) =2. Let f (xy) =g (x). G (y) AA x, y and g'(1)=2.g (1) ne =0 The number of values of x, where f (x) g(x):

Let f :R to R be a continous and differentiable function such that f (x+y ) =f (x). F(y)AA x, y, f(x) ne 0 and f (0 )=1 and f '(0) =2. Let f (xy) =g (x). G (y) AA x, y and g'(1)=2.g (1) ne =0 Identify the correct option:

Let f :R to R be a continous and differentiable function such that f (x+y ) =f (x). F(y)AA x, y, f(x) ne 0 and f (0 )=1 and f '(0) =2. Let f (xy) =g (x). G (y) AA x, y and g'(1)=2.g (1) ne =0 Identify the correct option:

Let f:A to A and g:A to A be two functions such that fog(x)=gof (x)=x for all x in A Statement-1: {x in A: f(x)=g(x)}={x in A: f(x)=x}={x in A: g(x)=x} Statement-2: f:A to A is bijection.

Let f and g be two functions such that gof=L_(A) and fog=L_(B). Then; f and g are bijections and g=f^(-1)