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(a)=g(c )`

B

`f(b)=g(b)`

C

`f(d)=g(b)`

D

`f(c )=g(a)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos

  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos

  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 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:

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. "If" f(x)=(3x+2)/(5x-3),"then"

    Text Solution

    |

  2. If f(x)=2^(x),"then"f(0),f(1),f(2)..."are in"

    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. Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...

    Text Solution

    |

  5. If f(x): (25-x^4)^(1/4) for 0< x< sqrt5 then f(f(1/2))=

    Text Solution

    |

  6. If f(x)=2x^n+a, where f(2)=26 and f(4)=138, then: f(3)=

    Text Solution

    |

  7. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  8. If f(x)=cos (logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

    Text Solution

    |

  9. If f(x)=sin(logx) then f(xy)+f(x/y)-2f(x)cos(logy)= (A) cos(logx) ...

    Text Solution

    |

  10. If f(x)=(1-x)/(1+x), then f[ f(cos2 theta)]=

    Text Solution

    |

  11. If: f(x)=bx^2+cx+d and: f(x+1)-f(x)=8x+3, then:

    Text Solution

    |

  12. if f(x)=x/(x-1) then f(a) / f(a+1)=?

    Text Solution

    |

  13. If: f(theta)=log((1+theta)/(1-theta)), then: f((2theta)/(1+theta^2))=

    Text Solution

    |

  14. If f(x)=(x-3)/(x+1) then f[f{f(x)}] equals

    Text Solution

    |

  15. If f(x)=(x-|x|)/(|x|), then f(-1)=

    Text Solution

    |

  16. If f(x) = 4x^3 + 3x^2 + 3x + 4, then x^3f(1/x) isequal to

    Text Solution

    |

  17. If the function f :N to N is defined by f (x)= sqrtx, then (f (25))/(f...

    Text Solution

    |

  18. If f(x) = x/(x-1)=1/y then the value of f(y) is

    Text Solution

    |

  19. Let the function f be defined by f(x) = ((2x +1) / (1-3x)) then f^-1 (...

    Text Solution

    |

  20. If f(x)=(2x-1)/(x+5),xne-5, then f^(-1)(x) is equal to

    Text Solution

    |