Home
Class 12
MATHS
Let f:{2,3,4,5}rarr{3,4,5,9} and g:{3,4,...

Let `f:{2,3,4,5}rarr{3,4,5,9}` and `g:{3,4,5,9}rarr{7, 11 , 15}` be functions defined at f(2)=3,f(3)=4,f(4)=f(5)=5,g(3)=g(4)=7, and g(5)=g(9)=11. Find `g(f(x))`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Let f: {2,3,4,5}to {3,4,5,9}and g: {3,4,5,9}to {7,11,15} be function defined as f (2) =3, f (3) = 4, f (4) f (5)=5 and g (3) =g (4)=7 and g (5) =g (9) =11. Find gof.

Let A ={1,2,3,4} and the mapping f: A rarr A, g: A rarr A be defined by f(1)=3,f(2)=4,f(3)=2,f(4)=1 and g(1)=2, g(2)=4,g(3)=1,g(4)=3 Find (i) (g o f) (4), (ii) (f o g) (1), (iii) (g o f)(3), (iv) (f o g)(2)

Let f : {1,3,4}to {1,2,5} and g : {1,2,5} to {1,3} be given by f = {(1,2), (3,5), (4,1) and g = {(1,3), (2,3) , (5,1)}. Write down gof.

Let f:R→R: f(x)=x+1 and g:R→R: g(x)=2x−3 . Find (f−g)(x) .

Let A={-1,1,-2,2},B={3,4,5,6} and f: A rarr B be the mapping defined by f={(1,6),(-1,4),(2,3),(-2,5)} . Prove that, f is a bijective mapping

Let f and g be real function defined by f(x)= sqrt(x+4),xge-4andg(x)=sqrt(x-4),xge4. Let the function f+g,f-g

If f(x) and g(x) are twice differentiable functions on (0, 3) satisfying f''(x)=g''(x), f'(1)=4,g'(1)=6,f(2)=3,g(2)=9," then "f(1)-g(1) is -

Let f(x) and g(x) be bijective functions where f:{1, b , c , d} rarr {1,2,3,4} and g:{3,4,5,6} rarr {2, x , y , z}, respectively. Then, find the number of elements in the range of g"("f(x)"}" .

If f(x) and g(x) are twice differentiable functions on (0,3) satisfying f"(x) = g"(x), f'(1) = 4, g'(1)=6,f(2)=3, g(2) = 9, then f(1)-g(1) is

Let f : (-5,5)rarrR be a differentiable function of with f(4) = 1, f'(4)=1, f(0) = -1 and f'(0) =1 If, g(x)=(f(2f^(2)(x)+2))^(2), then g'(0) equals

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. If a lt b lt c , then find the range of f(x)="|x-a|+|x-b|+|x-c|

    Text Solution

    |

  2. The function f:(-oo,-1)rarr(0, e^5) defined by f(x)=e^(x^3-3x+2) is ...

    Text Solution

    |

  3. Let f:{2,3,4,5}rarr{3,4,5,9} and g:{3,4,5,9}rarr{7, 11 , 15} be functi...

    Text Solution

    |

  4. Find the set of real value(s) of a for which the equation |2x+3|+|2x-...

    Text Solution

    |

  5. Which of the following function/functions is/are periodic ? (a) sgn(...

    Text Solution

    |

  6. If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2, then (A) f(g(x))=x^2,x!=...

    Text Solution

    |

  7. Find the domain of the function f(x)=1/(1+2sinx)

    Text Solution

    |

  8. Find the period (if periodic) of the following function : f(x)=(|sinx+...

    Text Solution

    |

  9. Find the range of f(x)=sqrt(1-sqrt(x^2-6x+9))

    Text Solution

    |

  10. The value of sum(r=1)^(2000) {{x+r}}/2000 is

    Text Solution

    |

  11. Find the period (if periodic) of the following function ([.] denotes ...

    Text Solution

    |

  12. Let f(x)=3x^2-7x+c , where c is a variable coefficient and x >7/6 . Th...

    Text Solution

    |

  13. Solve: |-2x^2+1+e^x+sinx|=|2x^2-1|+e^x+|sinx|,x in [0,2pi].

    Text Solution

    |

  14. Let [x] denotes the greatest integer less than or equal to x . If the ...

    Text Solution

    |

  15. The domain of the function f(x)=sin^(-1){(log)2(x^2)/2} is given by

    Text Solution

    |

  16. Solve |sinx+cosx|=|sinx|+|cosx|,x in [0,2pi].

    Text Solution

    |

  17. Which of the following functions is not periodic? (a)|sin3x|+sin^2x ...

    Text Solution

    |

  18. Find the number of solutions of sinx=x/(10)

    Text Solution

    |

  19. Let f(x)=e^({e^(|x|sgnx)})a n dg(x)=e^([e^(|x|sgnx)]),x in R , where ...

    Text Solution

    |

  20. Column I: Function, Column II: Period f(x)="cos"(|sinx|-|cosx|) , p...

    Text Solution

    |