Home
Class 12
MATHS
If f(2x+3)=sinx+2^(x), thenf(4m-2n+3) is...

If `f(2x+3)=sinx+2^(x)`, then`f(4m-2n+3)` is equal to

A

`sin(m-2n)+2^(2m-n)`

B

`sin(2m-n)+2^((m-n)^(2))`

C

`sin(m-2n)+2^((m+n)^(2))`

D

`sin(2m-n)+2^(2m-n)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `f(2x+3)=sinx+2^(x)`
On putting `x=2m-n`, we get
`f[2(2m-n)+3]=sin(2m-n)+2^(2m-n)`
`implies" "f(4m-2n+3)=sin(2m-n)+2^(2m-n)`
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS) Inverse, Composition and Different Types of Functions|8 Videos

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 31|1 Videos

  • SOLVED PAPER 2017

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2) , then (dy)/(dx) is equal to

If f(x)= 2 sinx -3x^(4)+8 , then find f'(x) is

If f(x) = a(x^n +3), f(1) = 12, f(3) = 36 , then f(2) is equal to

If f((3x-4)/(3x+4))=x+2 , then int f(x)dx is equal to

Consider int(3x^(4)+2x^(2)+1)/(sqrt(x^(4)+x^(2)+1))dx=f(x) . If f(1)=sqrt3 , then (f(2))^(2) is equal to

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to a.(1)/(4) b.0 c.(1)/(3) d.4

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to- (1)/(4)(b)0 (c) (1)/(3)(d)4

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SETS, RELATIONS AND FUNCTIONS-Exercise 2 (MISCELLANEOUS PROBLEMS)
  1. Let R be the real line. Consider the following subsets of the plane ...

    Text Solution

    |

  2. If R is a relation defined as aRb, "if"|a-b|gt0, then the relation is

    Text Solution

    |

  3. The total number of injections (one-one and into mappings) form {a(1),...

    Text Solution

    |

  4. The function f : [0,oo)to[0,oo) defined by f(x)=(2x)/(1+2x) is

    Text Solution

    |

  5. If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to...

    Text Solution

    |

  6. The period of f(x)=sin(sin(x)/(5)), is

    Text Solution

    |

  7. Domain of the function f(x) = log(sqrt(x-4)+sqrt(6-x))

    Text Solution

    |

  8. The domain of the function f(x)=sin^(-1){(log)2(x^2)/2} is given by

    Text Solution

    |

  9. The range of f(x)=cosx-sinx is

    Text Solution

    |

  10. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

    Text Solution

    |

  11. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

    Text Solution

    |

  12. If f(0)=1,f(1)=5" and "f(2)=11, then the equation of polynomial of deg...

    Text Solution

    |

  13. If f(x)=(a-x^(n))^(1//n),"where a "gt 0" and "n in N, then fof (x) is ...

    Text Solution

    |

  14. If [x] denotes the greatest integer le x, then [(2)/(3)]+[(2)/(3)+(1)/...

    Text Solution

    |

  15. If f(x)=cos(lnx) then f(x)f(y)-1/2(f(x/y)+f(xy)) has the value

    Text Solution

    |

  16. If f(x)=(2x-1)/(x+5),xne-5, then f^(-1)(x) is equal to

    Text Solution

    |

  17. If f(x)=(x)/(x-1),xne1, then underset(19" times")(ubrace(("fofo...of")...

    Text Solution

    |

  18. The function f: C -> C defined by f(x) = (ax+b)/(cx+d) for x in C wher...

    Text Solution

    |

  19. The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...

    Text Solution

    |

  20. If f(2x+3)=sinx+2^(x), thenf(4m-2n+3) is equal to

    Text Solution

    |