Home
Class 12
MATHS
Let g(x) be a polynomial function satisf...

Let g(x) be a polynomial function satisfying g(x).g(y) = g(x) + g(y) + g(xy) -2 for all x, `y in R` and `g(1) != 1`. If g(3) = 10 then g(5) equals

A

`-24`

B

16

C

26

D

34

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - C) Objective Type Questions (More than one option are correct)|17 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - D) Linked Comprehension Type Questions|17 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos
  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Let g(x) be a function satisfying g(0) = 2, g(1) = 3, g(x+2) = 2g(x+1), then find g(5).

If g(x) is a polynomial satisfying g(x)g(y)=g(x)+g(y)+g(xy)-2 for all real x and y and g(2)=5 then lim_(x rarr3)g(x) is

If g(x) is a polynomial satisfying g(x)g(y)=g(x)+g(y)+g(xy)-2 and g(2)=5 then value of g(3) is

Let g(x) be a function satisfying g(0)=2,g(1)=3,g(x+2)=2g(x)-g(x+1), then find g(5)

Let f(x) be a function satisfying f(x+y)=f(x)+f(y) and f(x)=x g(x)"For all "x,y in R , where g(x) is continuous. Then,

Let g:R rarr R be a differentiable function satisfying g(x)=g(y)g(x-y)AA x,y in R and g'(0)=a and g'(3)=b. Then find the value of g'(-3)

g(x+y)=g(x)+g(y)+3xy(x+y)AA x, y in R" and "g'(0)=-4. The value of g'(1) is

Let f:R to R be a function satisfying f(x+y)=f(x)+f(y)"for all "x,y in R "If "f(x)=x^(3)g(x)"for all "x,yin R , where g(x) is continuous, then f'(x) is equal to

AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
  1. Let f(x)=x^2 and g(x)=2^x . Then the solution set of the equation f...

    Text Solution

    |

  2. Let f(x) = tan x, x in (-pi/2,pi/2)and g(x) = sqrt(1-x^2) then g(f(x)...

    Text Solution

    |

  3. Let g(x) be a polynomial function satisfying g(x).g(y) = g(x) + g(y) +...

    Text Solution

    |

  4. "If "f:R to R, g:R and h:R to R be three functions are given by f(x)=x...

    Text Solution

    |

  5. Range ofthe function f(x)=cos(Ksin x) is [-1,1], then the least positi...

    Text Solution

    |

  6. Consider that the graph of y = f(x) is symmetrie about the lines x =...

    Text Solution

    |

  7. Let f(x) be defined in (0, 1), then the domain of definition of f(e^...

    Text Solution

    |

  8. If f(x) = 4^(x) - 2^(x + 1) + 5, then range of f(x) is

    Text Solution

    |

  9. Let g be a real valued function defined on the interval (-1, 1) such t...

    Text Solution

    |

  10. If f(x) is a real valued function defined as f(x) = In(1 - sin x) then...

    Text Solution

    |

  11. if f(x) is a real valued function defined as f(x)={min{|x|,1/x^2,1/x^3...

    Text Solution

    |

  12. Select the correct option

    Text Solution

    |

  13. Let f(x) = [x]^(2) + [x+1] - 3, where [.] denotes the greatest integer...

    Text Solution

    |

  14. If 2^(f(x)) = (2+x)/(2-x), x in (-2, 2) and f(x) = lambda f((8x)/(4+ x...

    Text Solution

    |

  15. If tan ax + cot ax and |tan x| + |cot x| are periodic functions of th...

    Text Solution

    |

  16. If {x} and [x] represent fractional and integral part of x, then [x]+...

    Text Solution

    |

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

    Text Solution

    |

  18. If the function f(x) = [4.8 + asinx] (where [.]- * denotes the greates...

    Text Solution

    |

  19. [(4)/(5)] + [(4)/(5)+(1)/(1000)] + [(4)/(5)+(2)/(1000)] + ...+[(4)/(5)...

    Text Solution

    |

  20. A real valued function f(x) satisfies the functional equation f(x-y) ...

    Text Solution

    |