Home
Class 12
MATHS
The function f: R-R is defined by f(x)=...

The function `f: R-R` is defined by `f(x)=cos^2x+sin^4xforx in Rdot` Then the range of `f(x)` is `(3/4,1]` (b) `[3/4,1)` (c) `[3/4,1]` (d) `(3/4,1)`

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

The function f:R to R is defined by f(x)=cos^(2)x+sin^(4)x for x in R . Then the range of f(x) is

The function f defined by f(x)=4x^4-2x+1 is increasing for

If f : R rarr R is defined by f(x)=1/(2-cos3x) for each x in R , then the range of f is

A function f is define by f(x)=3x^3+4 . Write the values of f(-1)

If f(x)=3x-5 and x in {-1,0,1,3,4} then find the range of f

Find the range of f(x)=1/(4cosx-3)dot

Let f : R to R be defined as f(x) = (x^2-x+4)/(x^2+x+4) . Then the range of the function f(x) is

Let f:RtoR be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4) . Then the range of the function f(x) is

Let f:RR to RR be defined as f(x)=(x^2-x+4)/(x^2+x+4). Then the range of the function f(x) is____

Let A = {0,1,2,3,4} and f:A to ZZ be defined by f(x) = x^2 -5x+2, find the range of f.

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. The function f(x)=sin(log(x+sqrt(1+x^2))) is (a) even function (b) odd...

    Text Solution

    |

  2. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

    Text Solution

    |

  3. The function f: R-R is defined by f(x)=cos^2x+sin^4xforx in Rdot Th...

    Text Solution

    |

  4. If x is real, then the value of the expression (x^2+14x+9)/(x^2+2x+3)...

    Text Solution

    |

  5. The domain of sqrt(log10((5x-x^2)/4)) is

    Text Solution

    |

  6. The domain of the function f(x)=(log)(3+x)(x^2-1) is

    Text Solution

    |

  7. The domain of f(x)="log"|logx|i s (0,oo) (b) (1,oo) (c) (0,1)uu(1,oo...

    Text Solution

    |

  8. The domain of the function f(x)=(sin^(-1)(3-x))/(I n(|x|-2)i s (a) [2...

    Text Solution

    |

  9. Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 si...

    Text Solution

    |

  10. The domain of f(x)=((log)2(x+3))/(x^2+3x+2) is (a) R-{-1,2} (b) (-2,o...

    Text Solution

    |

  11. Let f: XrarrY,f(x)=sinx+cosx+2sqrt(2) be an invertible function. Then ...

    Text Solution

    |

  12. If f(x)=a x^7+b x^3+c x-5,a , b , c are real constants, and f(-7)=7, ...

    Text Solution

    |

  13. If g(x)=x^2+x-2 and 1/2gof(x)=2x^2-5x+2, then which is not a possible ...

    Text Solution

    |

  14. If f: R->R is an invertible function such that f(x) and f^-1(x) are sy...

    Text Solution

    |

  15. Let f: R->R and g: R->R be two given functions such that f is inject...

    Text Solution

    |

  16. f: NrarrN, where f(x)=x-(-1)^x. Then f is: (a)one-one and into (b)ma...

    Text Solution

    |

  17. Find the range of f(x) =3 sin sqrt(pi^2/16 - x^2).

    Text Solution

    |

  18. A function f:RtoR where R is the set of real numbers,is defined by f(x...

    Text Solution

    |

  19. For any real number x , [x] denotes the largest integer less than or e...

    Text Solution

    |

  20. The domain of the function f(x)=(log)e{(log)(|sinx|)(x^2-8x+23)-{3/((l...

    Text Solution

    |