Home
Class 12
MATHS
Let f be a function defined on [0,2]. T...

Let `f` be a function defined on [0,2]. Then find the domain of function `g(x)=f(9x^2-1)`

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

Find the domain of the function: f(x)=(sin^(-1)x)/x

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

The function f(x) is defined in [0,1] . Find the domain of f(t a nx)dot

The function f(x) is defined in 0 le x le1, find the domain of definition of f(x^2)

The function f(x) is defined in 0 le x le1, find the domain of definition of f(2x-1)

Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

Find the domain of the function: f(x)=cos^(-1)(1+3x+2x^2)

Find the domain of the function f(x) =(x^(2)+2x+1)/(x^(2)-8x+12)

Find the domain of the function : f(x)=sin^(-1)((log)_2x)

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. If the domain of y=f(x)i s[-3,2], then find the domain of g(x)=f(|[x]|...

    Text Solution

    |

  2. The number of integral values of x satisfying the inequality (3/4)^(6...

    Text Solution

    |

  3. Let f be a function defined on [0,2]. Then find the domain of functio...

    Text Solution

    |

  4. Find the domain of f(x) = sin^-1 [ log9(x^2/4)]

    Text Solution

    |

  5. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

    Text Solution

    |

  6. Draw the graph of the function f(x)=m a x{sinx ,cos2x},x in [0,2pi]. W...

    Text Solution

    |

  7. Let f(x)={1+|x|,x<-1 [x],xgeq-1 , where [.] denotes the greatest integ...

    Text Solution

    |

  8. Let f:(-pi/2,pi/2)vecR be given by f(x)=(log(sec"x"+tan"x"))^3 then f(...

    Text Solution

    |

  9. If f(x)=log[(1+x)/(1-x)], then prove that f[(2x)/(1+x^2)]=2f(x)dot

    Text Solution

    |

  10. If f: RrarrR and g:RrarrR are two given functions, then prove that 2...

    Text Solution

    |

  11. Find the range of f(x)(x^2-x+1)/(x^2+x+1)

    Text Solution

    |

  12. Find the range of the function f(x)=cot^(-1)(log)(0. 5)(x^4-2x^2+3)

    Text Solution

    |

  13. Find the domain and range of f(x)=sqrt(3-2x-x^2)

    Text Solution

    |

  14. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

    Text Solution

    |

  15. Find the domain of f(x)=sqrt(((1-5^x)/(7^(-x)-7)))

    Text Solution

    |

  16. If f is the greatest integer function and g is the modulus function, t...

    Text Solution

    |

  17. If the functions f(x)a n dg(x) are defined on R rarr R such that f(x)=...

    Text Solution

    |

  18. Suppose that g(x)=1+sqrt(x) and f(g(x))=3+2sqrt(x)+xdot Then find the ...

    Text Solution

    |

  19. Let f: R->R \ w h e r e \ f(x)=(x^2+4x+7)/(x^2+x+1) . Is f(x) \ on e \...

    Text Solution

    |

  20. X and Y are two sets and f: X->Y If {f(c)=y; c subX, y subY} and {f^(-...

    Text Solution

    |