[" Let "f,g:[-1,2]rarr R" be continuous functions which are "],[" twice differentiable on the interval "(-1,2)" .Let the values of "],[" fand gat the points "-1,0" and "2" be as given in the following "],[" table: "],[qquad [hline,],[,,],[,,],[,,,],[,,,],[,f(x),3,6,0],[hline g(x),0,1,-1],[hline]]

Let f,g:[-1,2]rarr RR be continuous functions which are twice differentiable on the interval (-1, 2). Let the values of f and g at the points –1, 0 and 2 be as given in the following table : x=-1 x=0 x=2 f(x) 3 6 0 g(x) 0 1 -1 In each of the intervals (-1,0) and (0, 2) the function (f – 3g)' never vanishes. Then the correct statement(s) is(are)

Let f,g:[-1,2]rarr RR be continuous functions which are twice differentiable on the interval (-1, 2). Let the values of f and g at the points –1, 0 and 2 be as given in the following table : x=-1 x=0 x=2 f(x) 3 6 0 g(x) 0 1 -1 In each of the intervals (-1,0) and (0, 2) the function (f – 3g)'' never vanishes. Then the correct statement(s) is(are)

Let f,g:[-1,2]rarr RR be continuous functions which are twice differentiable on the interval (-1, 2). Let the values of f and g at the points –1, 0 and 2 be as given in the following table : x=-1 x=0 x=2 f(x) 3 6 0 g(x) 0 1 -1 In each of the intervals (-1,0) and (0, 2) the function (f – 3g)'' never vanishes. Then the correct statement(s) is(are)

Let f,g : [-1,2] to be continuous functions which are twice differentiable on the interval (-1,2). Let the values of f and g at the points and 2 be as given in the following table: In each of the intervals (-1,0) and (0, 2) the function (f-3g) never vanishes. Then the correct statements(s) is(are) :

Let f:[0,1]rarr[0,1] be a continuous function such that f(f(x))=1f or allx in[0,1] then

Let f : [0, 1] rarr [0, 1] be a continuous function such that f (f (x))=1 for all x in[0,1] then:

Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then :

Q.Let f:[a,b]rarr[1,oo) be a continuous function and let g:R rarr R be defined as g(x)={0 if x b