Home
Class 12
MATHS
If f: R to R is given by f(x)=(x^2-4)/(x...

If `f: R to R` is given by `f(x)=(x^2-4)/(x^2+1)` , identify the type of function.

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

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:R to R be given by f(x) =|x^(2)-1|, x in R . Then

Show that f: [-1, 1] to R, given by f (x) = (x)/((x +2)) is one-one. Find the inverse of the function f : [-1, 1] to Rangle f.

If f:R to R given by f(x)=x^(3)+px^(2)+qx+r, is then find the condition for which f(x) is one-one.

A function f : R to R is defined by f(x) =x^(2) .Then show that f is neither nor surfection .

If f : R to R is defined by f (x) =x ^(2) - 3x + 2, find f (f (x)).

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

If the function f: R- {0}-> R given by f(x)=1/x-2/(e^(2x)-1) is continuous at x=0, then find the value of f(0)

A function f:R to R is defined by f(x)=(x-1)(x-2) . Which one of the following is correct in respect of the function?

Show that the function f : R to R {x in R : -1 lt x lt 1} defined by f (x) = (x)/(1 + |x|), x in R is one one and onto function.

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the domain of the following functions: f(x)=sqrt(2-x)-1/(sqrt(9-x...

    Text Solution

    |

  2. Which of the following functions is the inverse of itself? (a) f(x)=(1...

    Text Solution

    |

  3. If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of f...

    Text Solution

    |

  4. Find the domain of f(x)=sqrt(([x]-1))+sqrt((4-[x])) (where [ ] repres...

    Text Solution

    |

  5. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1)...

    Text Solution

    |

  6. Let f(x)=a x+b and g(x)=c x+d , a!=0. Assume a=1,b=2. If (fog)(x)=(gof...

    Text Solution

    |

  7. Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

    Text Solution

    |

  8. If f(x)={x^2sin((pix)/2),|x|<1x|x|,|x|geq1,t h e nf(x)i s an even fun...

    Text Solution

    |

  9. Let f(x) and g(x) be bijective functions where f:{1, b , c , d} rarr {...

    Text Solution

    |

  10. If a lt b lt c , then find the range of f(x)="|x-a|+|x-b|+|x-c|

    Text Solution

    |

  11. The function f:(-oo,-1)rarr(0, e^5) defined by f(x)=e^(x^3-3x+2) is ...

    Text Solution

    |

  12. Let f:{2,3,4,5}rarr{3,4,5,9} and g:{3,4,5,9}rarr{7, 11 , 15} be functi...

    Text Solution

    |

  13. Find the set of real value(s) of a for which the equation |2x+3|+|2x-...

    Text Solution

    |

  14. Which of the following function/functions is/are periodic ? (a) sgn(...

    Text Solution

    |

  15. If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2, then (A) f(g(x))=x^2,x!=...

    Text Solution

    |

  16. Find the domain of the function f(x)=1/(1+2sinx)

    Text Solution

    |

  17. Find the period (if periodic) of the following function : f(x)=(|sinx+...

    Text Solution

    |

  18. Find the range of f(x)=sqrt(1-sqrt(x^2-6x+9))

    Text Solution

    |

  19. The value of sum(r=1)^(2000) {{x+r}}/2000 is

    Text Solution

    |

  20. Find the period (if periodic) of the following function ([.] denotes ...

    Text Solution

    |