Home
Class 12
MATHS
Let f: [1,2] -> [1, 4] and g : [1,2] -> ...

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

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1A|9 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1B|6 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1E|9 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

Let f:[1,2]rarr[1,4] and g:[1,2]rarr[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

If two real functions f and g such that f(x)=x^(2) and g(x)=[x] , then the value of f(-2)+g(-1/2) is

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)

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:(-2,2)rarr(-2,2) be a continuous function such that f(x)=f(x^(2))AA in d_(f), and f(0)=(1)/(2), then the value of 4f((1)/(4)) is equal to

If g is the inverse function of f an f'(x)=(x^(5))/(1+x^(4)). If g(2)=a, then f'(2) is equal to

f:{1,2,3,4}rarr{1,4,9,16} and g:{1,4.9,16)rarr{1,(1)/(2),(1)/(3),(1)/(4)} are two bijective functions such that x_(1)>x_(2)rArr f(x_(1)) g(x_(2)) then f^(-1)(g^(-1)((1)/(2))) is equal to

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))