Home
Class 9
MATHS
If f(x)=x^(2)-5x+6, then determine f(x^(...

If `f(x)=x^(2)-5x+6`, then determine `f(x^(2)+1)`.

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.3|36 Videos

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.4|52 Videos

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.1|57 Videos

  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Exercise - 7 (Long-answer type questions)|49 Videos

  • PROBABILITY

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2|16 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(2-x)/(2+x) , then determine f(x^(-1)) .

If f(x)=x^(2)-5x+6 , then find f(x^(2)+2) .

2f(x)+3f(-x)=x^2-x+1 then determine f'(1)

If f(x)=x^2-5x+3 , then find f(x+1)

If f(x)=3x^2-5x+7 , then find f(x-1)

If f(x)=x^2-2x+1 , then find f(1)

If 2f(x) +3f(-x)=x^(2)-x+1 then determine the value of f'(1).

If f(x)=x^2-2x+5 , then find f(1) .

If y=f(x)=(2x+3)/(5x-a) , then determine the value of a so that x = f(y).

Let R be the set of real numbers and f:R to R be defined by f(x)=2x^(2)-5x+6 , then the value of f^(-1)(2) is -

CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.2
  1. If y=f(x)=(ax+b)/(cx-a), then find f(y).

    Text Solution

    |

  2. If f(x)=2^(ax+1), the determine f(a)*f(b)*f(c).

    Text Solution

    |

  3. If f(x)=x^(2)-5x+6, then determine f(x^(2)+1).

    Text Solution

    |

  4. If f(x)=2^(x), then prove that f(x +1) = 4f( x - 1).

    Text Solution

    |

  5. If f(x)=(1-x)/(1+x), then prove that f(x)+f(1/x)=0.

    Text Solution

    |

  6. Find the zeroes of the polynomial p(x)=x^(2)-(a+1/a)x+1.

    Text Solution

    |

  7. If f(x)=log(2)xandg(x)=x^(2) then find f(g(2)).

    Text Solution

    |

  8. If f(x)=x^(2)andg(x)=sqrtx, then prove that g(f(4)) = 4.

    Text Solution

    |

  9. If f(x)=4^(x), then prove that (f(x+1))/(f(x-1))=16.

    Text Solution

    |

  10. The polynomial f(x) is defined by f(x)={{:("0 when x is an integer ,...

    Text Solution

    |

  11. If the polynomial f(x) be defined by f(x) = {{:(2x^(2)-3 " when " xl...

    Text Solution

    |

  12. If f(x) = ax + b, f(0) = 2 and f(4) = 10, then find the values of a an...

    Text Solution

    |

  13. If 2f(x) + 3f(-x) = 15 - 4x, then prove that f(x) = 3 + 4x.

    Text Solution

    |

  14. If f(x)=ax^(2)+bx+c and f(x + 1) = f(x) + x + 1, then determine the va...

    Text Solution

    |

  15. If f(x)=ax^(2)+bx+c and f(x - 1) = f(x) + 2x + 1. then find the values...

    Text Solution

    |

  16. If f(x)=1/(4x^(2)), then proved that (f(x-h)-f(x+h))/h=x/((x^(2)-h^(2)...

    Text Solution

    |

  17. If y=f(x)=(2x+3)/(5x-a), then determine the value of a so that x = f(y...

    Text Solution

    |

  18. If f(x) = (x-1)/(x+1), then prove that (f(x)-f(y))/(1+f(x)f(y))=(x-y)/...

    Text Solution

    |

  19. If 2f(x-1)-f((1-x)/x)=x, then prove that 3f(x)=2(x+1)+1/(x+1).

    Text Solution

    |

  20. If xgt0, then prove that the value of the polynomial (2x+2^(-x)-2) is ...

    Text Solution

    |