Let `:[1,2] to [1,4]" and " g:[1,2] to [2,7]` be two continuous bijective functions such that `f(1) =4` & g(2)=7. The number of solutions of the equation `f(x) =g(x)` in (1,2) is:

Let f: [1,2] -> [1, 4] and g : [1,2] -> [2, 7] be two continuous bijective functions such that f(1)\=4 and g (2)=7 . Number ofsolution of the equation f(x)=g(x) in (1,2) is equal to

Let f be the continuous and differentiable function such that f(x)=f(2-x), forall x in R and g(x)=f(1+x), then

Let f and g be two differentiable functins such that: f (x)=g '(1) sin x+ (g'' (2) -1) x g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2)) The number of solution (s) of the equation f (x) = g (x) is/are :

Let f : A to B and g : B to C be the bijective functions. Then (g of )^(-1) is

Let f(x)a n dg(x) be two continuous functions defined from RvecR , such that f(x_1) > f(x_2) and g(x_1) x_2 dot Then what is the solution set of f(g(alpha^2-2alpha) > f(g(3alpha-4))

f: { 1, 2, 3, 4} -> {1, 4, 9, 16} and g: {1, 4. 9, 16) ->{1,1/2,1/3,1/4} are two bijective functions such that x_1 gt x_2 => f(x_1) lt f(x_2),g(x_1) gt g(x_2) then f^-1(g^-1(1/2)) is equal to

If f : R->Q (Rational numbers), g : R ->Q (Rational numbers) are two continuous functions such that sqrt(3)f(x)+g(x)=4 then (1-f(x))^3+(g(x)-3)^3 is equal to (1) 1 (2) 2 (3) 3 (4) 4

f(x) and g(x) are two differentiable functions in [0,2] such that f"(x)=g"(x)=0, f'(1)=2, g'(1)=4, f(2)=3, g(2)=9 then f(x)-g(x) at x=3/2 is

Given functions f(x) = 2x + 1 and g(x) = x^(2) - 4 , what is the value of f(g(-3)) ?

Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(2)=a then g'(2) is equal to