Home
Class 12
MATHS
If f(x)=logx, g(x)=x^(3) then f[g(a)]+f[...

If `f(x)=logx, g(x)=x^(3)` then `f[g(a)]+f[g(b)]=`

A

`f[g(a)+g(b)]`

B

`f[g(ab)]`

C

`3[f(ab)]`

D

`g[f(a)+f(b)]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)|138 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If f(x)=2x-1, g(x)=x^(2) , then (3f-2g)(x)=

If f(x)=x^(2), g(x)=x^(2)-5x+6 then (g(2)+g(2)+g(0))/(f(0)+f(1)+f(-2))=

If f(x)=sin x + cos x, g(x)=x^(2)-1 , then g(f(x)) is invertible in the domain

If f(x)=sin x + cos x, g(x)=x^(2)-1 , then g(f(x)) is invertible in the domain

If f and g are real valued functions define by f(x)=2x-1 and g(x)=x^(2) then find (i) (3f-2g)(x)

If f(x)=x^(2) and g(x)=|x| , then find (i) f+g

If f(x)=x^(2) and g(x)=|x| , then find (ii) f-g

If f(x) =x and g(x) =|x| , then f(x) + g(x) is equal to

DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. If f(x)={{:(x^(3)+1",",x lt0),(x^(2)+1",", x ge0):}, g(x)={{:((x-1)^(1...

    Text Solution

    |

  2. If f(x)=x^(3)-x, g(x)=sin 2x, then

    Text Solution

    |

  3. If f(x)=logx, g(x)=x^(3) then f[g(a)]+f[g(b)]=

    Text Solution

    |

  4. If f:R rarrR and g:R rarrR are defined by f(x)=2x+3, g(x)=x^(2)+7 then...

    Text Solution

    |

  5. If f:RR rarrRR and g:RR rarrRR are defined by f(x)=2x+3 and g(x)=x^(2)...

    Text Solution

    |

  6. Suppose f:[-2, 2] rarr RR is defined by f(x)={{:(-1" for "-2 le x le 0...

    Text Solution

    |

  7. Let Q be the set of all rational number in [0, 1] and f:[0, 1]rarr[0, ...

    Text Solution

    |

  8. If f : R rarr R and g: R rarr R are given by f(x)=|x| and g(x)={x} for...

    Text Solution

    |

  9. If g[f(x)]=|sinx|, f[g(x)]=(sinsqrtx)^(2) then

    Text Solution

    |

  10. If g[f(x)]=|sinx|, f[g(x)]=(sinsqrtx)^(2) then

    Text Solution

    |

  11. If f(n)=(-1)^(n-1)(n-1) and g(n)=n-f (n)AA n in N then (gog)(n)=

    Text Solution

    |

  12. If f(x) =(p-x^n)^(1/n) ,p >0 and n is a positive integer then f[f(x)] ...

    Text Solution

    |

  13. If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

    Text Solution

    |

  14. If f:[-6, 6]rarr RR defined by f(x)=x^(2)-3" for " x in R then (fofof...

    Text Solution

    |

  15. If f(x)=(1)/(sqrt(x+2sqrt(2x-4)))+(1)/(sqrt(x-2sqrt(2x-4))) for x gt 2...

    Text Solution

    |

  16. If f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosxcos(x+pi//3) and g(5//4)=1 then ...

    Text Solution

    |

  17. If f(x)=cos^(2)x+cos^(2)(x+60^(@))+cos^(2)(x-60^(@)) and g(3//2)=5 the...

    Text Solution

    |

  18. If y=f(x)=(2x-1)/(x-2), then f(y)=

    Text Solution

    |

  19. If f(x)=(3x-7)/(5x-3) then (fof)(x)=

    Text Solution

    |

  20. If f(x)=-|x|, then (fofof)=

    Text Solution

    |