Home
Class 12
MATHS
Let f: R to R be defined by f(x) = 5^(...

Let `f: R to R` be defined by
`f(x) = 5^(2x)/(5^(2x) + 5)`, then `f(x) + f(1-x)` is equal to

A

1

B

5

C

25

D

`sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS ))|25 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|20 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

Let f : R to R be defined by f(x) = x^(3) + x^(2) + 5x + 2 sin x , Then

If f" R -{3/5} to R be defined by f(x)=(3x+2)/(5x-3) , then :

If f : R rarr R be defined as f(x) = 2x + |x| , then f(2x) + f(-x) - f(x) is equal to

f:R rarr R defined by f(x)=x^(2)+5

Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

If f :R to R is defined by f (x) =(x )/(x ^(2) +1), find f (f(2))

Let f:R rarr R be defined by f(x)=(x)/(x^(2)+1) Then (fof(1) equals

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-EXERCISE (CONCEPT -BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS) )
  1. Let ~ be a relation defined on N xx N as follows: (a,b),(c,d) in N ...

    Text Solution

    |

  2. Let A = {a, b, c} andR = {(a, b), (b, c)}. The minimum number of order...

    Text Solution

    |

  3. Suppose A and B have exactly n elements in common, then the number of ...

    Text Solution

    |

  4. On Z, define R as follows: a, b in Z, aRb if 7|(a^(2) -b^(2)), then ...

    Text Solution

    |

  5. Suppose R is a reflexive and transitive relation on a set A and let S ...

    Text Solution

    |

  6. Let R1 and R2 be equivalence relations on a set A, then R1uuR2 may or ...

    Text Solution

    |

  7. On Z, define R as follows: a,b in Z, aRb if 3|(a^(2) - b^(2)), then ...

    Text Solution

    |

  8. Let f(x) = sin(pi[x]) + sin([pi^(2)]x) + cos ([-pi^(2)]x/3) AA x in R,...

    Text Solution

    |

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

    Text Solution

    |

  10. Let /be a function such that 3f(x) + 22f(1/x) = 7x, AA x ne 0, then...

    Text Solution

    |

  11. Let f: R to R be defined by f(x) = 5^(2x)/(5^(2x) + 5), then f(x) + ...

    Text Solution

    |

  12. Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0)...

    Text Solution

    |

  13. If f (x) = 27x^(3) -(1)/(x^(3)) and alpha, beta are roots of 3x - (1)/...

    Text Solution

    |

  14. Let f(x) = ln(x-1)(x-3) and g(x) = ln(x-1) + ln(x-3) then,

    Text Solution

    |

  15. Let f(x) = cos(x) + cos(sqrt(3)x) AA x in R. The number of values of x...

    Text Solution

    |

  16. The domain of f(x) = sqrt((2-|x|)/(3-|x|)) is

    Text Solution

    |

  17. The range of f(x) = sqrt(3x^(2) - 10 x + 12) is

    Text Solution

    |

  18. The domain of f(x) = cos^(-1) {log(2) (1/2x^(2))} is

    Text Solution

    |

  19. Suppose f: R to R be defined by f(x) ={{:(x, if x in Q),(1-x, if x i...

    Text Solution

    |

  20. Let f:[4,infty) to [1,infty) be defined by f(x) = 11^(x(4-x)) AA x ...

    Text Solution

    |