Home
Class 11
MATHS
If f(x) =e^(x + a) , g(x) = x^(b^2) and ...

If f(x) =`e^(x + a) , g(x) = x^(b^2)` and `h(x) = e^(b^2 x)`, then find the value of `(g{f(x)})/(h(x))`

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    PATHFINDER|Exercise QUESTION BANK|296 Videos
  • LIMIT, CONTINUITY AND DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|293 Videos

Similar Questions

Explore conceptually related problems

If f(x)=e^(x+a),g(x)=x^(b^2)and h(x)=e^(b^2x), find the value of (g[f(x)])/(h(x)).

If f(x)=e^(x+a) , g(x)=x^(b^2) and h(x)=e^(b^2x) ,show that (g[f(x)])/(h(x))=e^(ab^2)

f(x)=e^x-e^(-x) then find f'(x)

If f(x) = 2x + |x|, g(x) = 1/3(2x - |x|) and h(x) = f(g(x)), then find the domain of sin^(1-)(h(h(h(h...h(x)...))))/(n "times")

If f(a) = 2, f'(a) = 1, g(a) = -1 and g'(a) = 2 , find the value of lim_(x rarr a)(g(x)f(a) - g(a)f(x))/(x-a)

Iff(x)=e^(g(x))a n dg(x)=int_2^x(tdt)/(1+t^4), then find the value of f^(prime)(2)

If f (x) =(e^(x) -e ^(-x))/( e ^(x) +e^(-x)) +2, then the value of f ^(-1) (x) is-

f(x)=e^x.g(x) , g(0)=2 and g'(0)=1 then f'(0)=

If the function f(x)=x^(3)+e^((x)/(2)) and g(x)=f^(-1)(x) , then the value of g'(1) is

Let f:R to R and h:R to R be differentiable functions such that f(x)=x^(3)+3x+2,g(f(x))=x and h(g(g(x)))=x for all x in R . Then, find the value of h'(1).

PATHFINDER-FUNCTIONS-QUESTION BANK
  1. Find the range of the function f(x) = (e^x - e^-x).

    Text Solution

    |

  2. Find the inverse function of the function f(x) = [4 - (x - 7)^3]^(1/5)...

    Text Solution

    |

  3. If f(x) =e^(x + a) , g(x) = x^(b^2) and h(x) = e^(b^2 x), then find th...

    Text Solution

    |

  4. Find domain of the function f(x) = 2^sin^(-1)x + 1/sqrt(x - 2).

    Text Solution

    |

  5. Prove that the domain of g(x) =cot^-1 x/sqrt(x^2 - [x]) , x in R is R ...

    Text Solution

    |

  6. Find the range of the function y =1/(2 - cos 2x).

    Text Solution

    |

  7. Find the range of the function y = log2 (sin x + cos x + 3sqrt2)/sqrt2

    Text Solution

    |

  8. Find the value of x which f(x) = 1/sqrt(absx - x) is not defined.

    Text Solution

    |

  9. Find the range of y=x/(1 + x^2)

    Text Solution

    |

  10. If f(x) = cos(loge x), then find the value of f(x)cdot f(y) - 1/2[f(x/...

    Text Solution

    |

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

    Text Solution

    |

  12. Without using graph paper the graph of the function y = f(x) = abs(x -...

    Text Solution

    |

  13. Without using graph paper draw a sketch graph of the function f(x) = 2...

    Text Solution

    |

  14. Find the domain of the function F(x) = tan^-1 sqrt(x(x + 1)) + sin^-1 ...

    Text Solution

    |

  15. Find the range of the function f(x) = (sec^2x - tan x)/(sec^2 x + tan ...

    Text Solution

    |

  16. Find the domain of function f(x) = cos^-1 ((2 - absx)/4) + 1/log(3 - x...

    Text Solution

    |

  17. If 2f(x) + 3f(-x) = 15 - 4x for all real values of x , then show that ...

    Text Solution

    |

  18. If 2f(x - 1) - f((1-x)/x) = x find f(x).

    Text Solution

    |

  19. Find the inverse function of the function f(x) = [4 - (x - 7)^3]^(1/5)...

    Text Solution

    |

  20. If f(n + 1) = (2f(n) + 1)/2 , n = 1,2,3,....... and f(1) = 2, then fin...

    Text Solution

    |