Home
Class 12
MATHS
f(x) is an odd polynomial function. Then...

`f(x)` is an odd polynomial function. Then `cos [f(x)]` is

A

an even function

B

an odd function

C

Neither even nor odd

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)|138 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

f{x) is an even polynomial function. Then sin(f(x)-3x) is

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x)=

If f(x) is a polynomial function x>0 such that f(x)f(1//x)=f(x)+f(1//x) and f(2)=33 then f(x)=

If f(x) is an even functions and satisfies the relation x^(2) .f(x) - 2 f((1)/(x)) = g(x) where g(x) is an odd functions . Then the value of f(5) is

f(x) is a polynomial funciton, f : R to R , such that f(2x) = f'(x) f^('')(x) Equation f(x) = x has

f(x) is a polynomial funciton, f : R to R , such that f(2x) = f'(x) f^('')(x) The value of f(3) is

If f (x) is a polynomial function satisfying f(x).f((1)/(x))=f(x)+f((1)/(x)) and f(4) =257 then f(3) =

If f(x) is an odd periodic function with period 2, then f(4)=

Let f (x ) be a polynomial function of second degree. If f (1) = f( -1) and a,b,c are in A.P., then f' (a), f'(c ) are in

DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. Which of the following is an even function

    Text Solution

    |

  2. Which of the following is an odd function

    Text Solution

    |

  3. f(x) is an odd polynomial function. Then cos [f(x)] is

    Text Solution

    |

  4. Determine whether the function f(x) = log(x+sqrt(x^(2)+1)) is even or ...

    Text Solution

    |

  5. (log(x+sqrt(x^(2)+1)))/(x) is

    Text Solution

    |

  6. If f(x)=(cosx+ sinx)/(tanx+cotx) then function f(x) is

    Text Solution

    |

  7. Let f(x)=(x)/(e^(x)-1)+(x)/(2)+1, then f is

    Text Solution

    |

  8. If f from R is defined by f(x)=x^(2), then f^(-1){16}=

    Text Solution

    |

  9. If f from R into R defined by f(x)=x^(3)-1, then f^(-1){-2, 0, 7}=

    Text Solution

    |

  10. f:R rarrR defined by f(x)=x^(3)+x^(2)-x-1. Then the inverse image set ...

    Text Solution

    |

  11. Let f be an injective function with domain {x, y, z} and range {1, 2, ...

    Text Solution

    |

  12. If f={(a, 0), (b, 2), (c, -3)}, g={(a, -1), (b, 1), (c, 2)} then 2f-3g...

    Text Solution

    |

  13. If f={(a, 1), (b, -2), (c, 3)}, g={(a, -2), (b, 0), (c, 1)} then f^(2)...

    Text Solution

    |

  14. If f={(a, 0), (b, -2), (c, 3)}, g={a, -2), (b, 0), (c,1)} then f//g=

    Text Solution

    |

  15. If f={(-2, 4), (0, 6), (2, 8)} and g={(-2, -1), (0, 3), (2, 5)}, then ...

    Text Solution

    |

  16. If f:{(1, 2), (2,3), (3, 1)}, then fof=

    Text Solution

    |

  17. If f={(1,a), (2, b), (1, b), (3,c), (1,c)}, g=(a, p), (b,r), (c,q), (c...

    Text Solution

    |

  18. If f(x)=2x-1, g(x)=x^(2), then (3f-2g)(x)=

    Text Solution

    |

  19. If f(x)=x^(2), g(x)=x^(2)-5x+6 then (g(2)+g(2)+g(0))/(f(0)+f(1)+f(-2))...

    Text Solution

    |

  20. f(x)=1, if x rational, =0, if x is irrational. Then (f(1//2)+f(sqrt5...

    Text Solution

    |