Home
Class 11
MATHS
If f(x)=ax+b and g(x)=cx+d, then f(g(x))...

If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

A

`f (c ) = g(a)`

B

`f (d)=g (b)`

C

`f (a) =g (c ) `

D

`f (b) = g (b)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos
  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=px+qandg(x)=mx+n." Then "f(f(x))=g(f(x)) is equivalent to

If f(x)=x^2 and g(x)=x^2+1 then: (f@g)(x)=(g@f)(x)=

If F(x)=f(x)g(x) and f'(x)g'(x)=c , then (F'''(x))/(F(x)) is equal to (where f'(x) denotes differentiation w.rt. x and c is constant) (i) (f')/(f)+(g')/(g) (ii) (f'')/(f)+(g'')/(g) (iii) (f''')/(f)-(g''')/(g) (iv) (f''')/(f)+(g''')/(g)

If f(x)=1+2x and g(x) = x/2 , then: (f@g)(x)-(g@f)(x)=

If f(x)=px+q and g(x)=rx+s and f[g(x)]=g[f(x)]hArr

If f(x)=ax+bandg(x)=cx+d such that f[g(x)]=g[f(x)] then which one of the following is correct?

If f(x)=3x+1 and g(x)=x^(3)+2 then ((f+g)/(f*g))(0) is:

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. If f(x) = (x-1)/(x+1), then f(2) is equal to

    Text Solution

    |

  2. Let f(x)=(alpha x)/(x+1), x ne -1. Then, for what value of alpha " is ...

    Text Solution

    |

  3. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

    Text Solution

    |

  4. If f (x) = 8x ^(3), g (x) =x ^(1/3), then fog (x) is

    Text Solution

    |

  5. If f(x) =2x +1 and g (x) (x-1)/(2) for all real x, then (fog) ^(-1)( (...

    Text Solution

    |

  6. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

    Text Solution

    |

  7. Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0)...

    Text Solution

    |

  8. Two functions f:Rrarr R, g:R rarr R are defined as follows : f(x)={{...

    Text Solution

    |

  9. If f:R->R and g:R->R is given by f(x) =|x| and g(x)=[x] for each x in ...

    Text Solution

    |

  10. Let the function f, g, h are defined from the set of real numbers RR t...

    Text Solution

    |

  11. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

    Text Solution

    |

  12. Let f(x)=x^2a n dg(x)=sinxfora l lx in Rdot Then the set of all x sat...

    Text Solution

    |

  13. Let f,g: RvecR be a two function defined as f(x)=|x|+xa n dg(x)=|x|-x ...

    Text Solution

    |

  14. The period of f (x) =x - [x], if it is periodic is

    Text Solution

    |

  15. If f: R rarr R be defined by f(x) =e^(x) and g:R rarr R be defined b...

    Text Solution

    |

  16. If f: R to R be defined by f(x) =(1)/(x), AA x in R. Then , f is

    Text Solution

    |

  17. If f : A to B is bijection and g : B to A is that inverse of f, then ...

    Text Solution

    |

  18. If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to...

    Text Solution

    |

  19. A is a set having 6 distinct elements. The number of distinct function...

    Text Solution

    |

  20. Number of bijective function from a set of 10 elements to itself is

    Text Solution

    |