Home
Class 12
MATHS
f:RtoR is defined as f(x)=x^(3)+2x^(2)+7...

`f:RtoR` is defined as `f(x)=x^(3)+2x^(2)+7x+cos(pix)` and `g` be the inverse of function `f(x)` then `g(9)` is equal to

A

`1/14`

B

`1/10`

C

`2/9`

D

`0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

f:R->R is defined as f(x)=2x+|x| then f(3x)-f(-x)-4x=

f(x)= x + tan x and f is an inverse function of g then g'(x)= ……..

f(x)= x + tan x and f is an inverse function of g then g'(x)= ……..

If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

If f: R rarrR is defined by f(x) =x^(2)-3x+2 , find f(f(x)).

Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi)/(2), pi] to A defined by g (x) = (sin x+4)/(sin x-2) be two invertible functions, then f ^(-1) (x) is equal to

Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(2)=a then g'(2) is equal to

Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi)/(2), pi] to A defined by g (x) = (sin x+4)/(sin x-2) be two invertible functions, then The set "A" equals to

f:R to R is a function defined by f(x)= 10x -7, if g=f^(-1) then g(x)=

ALLEN -TEST PAPERS-MATHEMATICS
  1. If f(x)=((x+1)^(7)sqrt(1+x^(2)))/((x^(2)-x+1)^(6)) then the valueof f'...

    Text Solution

    |

  2. The value of lim(xto0^(+))(x^(x)+(tanx)^(cosecx)+(cosecx)^(tanx)) is...

    Text Solution

    |

  3. f:RtoR is defined as f(x)=x^(3)+2x^(2)+7x+cos(pix) and g be the invers...

    Text Solution

    |

  4. y=sinx+e^(x) then (d^(2)x)/(dy^(2)) is:

    Text Solution

    |

  5. Let f(x) be a cubic polynomical such that f'(x)=0 at x=1 and x=3, f(1)...

    Text Solution

    |

  6. lim(xto oo)(ln(x^(2)+5x)-2ln(cx+1)=-2 then

    Text Solution

    |

  7. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)...

    Text Solution

    |

  8. If quadratic equation (1+m)x^(2)-2(1+3m)x-2(1+m)=0 has one root greate...

    Text Solution

    |

  9. The quadratic polynomial p(x) has the following properties: p(x)geq0 f...

    Text Solution

    |

  10. Number of points on [0,2] where f(x)={(x{x}+1,(0lexlt1),(2-{x},1lex...

    Text Solution

    |

  11. Let sin theta-cos theta=1 then the value of sin^(3) theta-cos^(3)theta...

    Text Solution

    |

  12. Domain off(x)=log(x^2+5x+6)/([x]-1)where [.] denotes greatest integer ...

    Text Solution

    |

  13. Let f:RtoR f(x)=x+3x^(3)+5x^(5)+………..+1001x^(1001) then which of fol...

    Text Solution

    |

  14. The sum sum(n=1)^oo tan^(-1)(3/(n^2+n-1)) is equal to

    Text Solution

    |

  15. Let f(x)={(cos[x],xge0),(|x|+a,xlt0):} (where [.] denotes greatest i...

    Text Solution

    |

  16. lim(nto oo) (1-1/(2^(2)))(1-1/(3^(2)))(1-1/(4^(2)))…………….(1-1/(n^(2)))...

    Text Solution

    |

  17. The velue of lim(x->0)(sin(3sqrtx)ln(1+3x))/((tan^(- 1)sqrt(x))^2(e^(...

    Text Solution

    |

  18. Let f:RtoR is given by f(x)={(p+qx+x^(2),xlt2),(2px+3qx^(2),xge2):} t...

    Text Solution

    |

  19. Let h (x) = min (x, x^2), x in R, then h (x) is

    Text Solution

    |

  20. Let f(x) be defined as f(x)={([x],-2lexle(-1)/2),(2x^(2)-1,(-1)/2lt...

    Text Solution

    |