Home
Class 12
MATHS
If f(x)=2^x the f(x+3)/ f(x-1)=?...

If `f(x)=2^x` the `f(x+3)/ f(x-1)`=?

Text Solution

Verified by Experts

We have `gof(2)=g(f(2))=g(3)=7,`
`gof(3)=g(f(3))=g(4)=7,`
`gof(4)=g(f(4))=g(5)=11,`
and `gof(5)=g(5)=11.`
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

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

If f(x)=x^2-3x+1 , then find f(1) .

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

If f(x)=3x^2-x+1 , then find f(-2) .

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

If f(x)=x^2-3x+1 , then find f(0) .

2f(x)+3f(-x)=15-4x then [f(1)+f(-1)]=?

If 2f(x)+3f(-x)=2x+1 , then find f(x).

If 2f(x)+3f(-x)=2x+1,then find f(x).

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the period of the following function (i) f(x) =|sinx|+|cosx| ...

    Text Solution

    |

  2. Let f:R→R: f(x)=x+1 and g:R→R: g(x)=2x−3. Find (f−g)(x).

    Text Solution

    |

  3. If f(x)=2^x the f(x+3)/ f(x-1)=?

    Text Solution

    |

  4. Let f:N→R such that f(x)=(2x−1)/2 and g:Q→R such that g(x)=x+2 be ...

    Text Solution

    |

  5. Suppose that g(x)=1+sqrt(x) " and " f(g(x))=3+2sqrt(x)+x. Then find th...

    Text Solution

    |

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

    Text Solution

    |

  7. f(x)=x+1, x<0, f(x)=x^2, xgeq0 and g(x)={x^3, x<1, 2x-1, xgeq1 Then...

    Text Solution

    |

  8. find fog(x) " and " gof(x). if f(x)=x^2 and g(x)=cosx.

    Text Solution

    |

  9. Two functions are defined as under, f(x)={(x+1, x le1),(2x+1, 1ltxle2)...

    Text Solution

    |

  10. If f and g are one-one functions, then (a)f+g is one one (b)fg is one ...

    Text Solution

    |

  11. Which of the following function/functions has/have point of inflection...

    Text Solution

    |

  12. The graph of the derivative f'(x) is given in the following figure. ...

    Text Solution

    |

  13. Let A=R-{3}, B=R-{1} and f: A rarr B defined by f(x)=(x-2)/(x-3). Is '...

    Text Solution

    |

  14. Let f: RrarrR be defined by f(x)=(e^x-e^(-x))//2dot then find its inve...

    Text Solution

    |

  15. Find the inverse of f(x)={(x ,, x<1),(x^2 ,, 1lt=xlt=4), (8sqrt(x) ,,...

    Text Solution

    |

  16. Find the inverse of the function f: [-1,1] to [-1,1],f(x) =x^(2) xx s...

    Text Solution

    |

  17. Find the inverse of the function f:[-(pi)/(2)-"tan"^(1)(3)/(2),(pi)/...

    Text Solution

    |

  18. If f(x)=3x-2a n d(gof)^(-1)(x)=x-2, then find the function g(x)dot

    Text Solution

    |

  19. Let f(x)=x+f(x-1) for AAx in R. If f(0)=1,f i n d \ f(100).

    Text Solution

    |

  20. The function f(x) is defined for all real x. If f(a+b)=f(ab) AA a " a...

    Text Solution

    |