Home
Class 12
MATHS
Let g(x)=(f(x))^(2)+f(x)+19 where f(x)=|...

Let `g(x)=(f(x))^(2)+f(x)+19` where `f(x)=|x-2|^(2)+|x-2|-2` then number of single digit natural number of the range of `g(x)` is

Text Solution

Verified by Experts

The correct Answer is:
0

Range of `f(x)=[-2,infty]`
`g(x)=(f(x)+3)^(2)+10`
Range of `g[11,infty]`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise MATHEMATICS|263 Videos
  • TEST PAPERS

    RESONANCE|Exercise PART - I MATHMATICS|84 Videos
  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos
  • TEST SERIES

    RESONANCE|Exercise MATHEMATICS|131 Videos

Similar Questions

Explore conceptually related problems

Let g(x)=f(f(x)) where f(x)={1+x;0<=x<=2} and f(x)={3-x;2

Let f(x)=max*{|x^(2)-2|x||,|x|} then number of points where f(x) is non derivable, is :

Let f(x)=x^(2)-4x-3,x>2 and let g be the inverse of f. Find the value of g', where f(x)=2

Let f(x) = (x^(2))/((1+x^(2)) .Then range (f ) =?

Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number of points of discontinuity of f [g (x)] is

If f(x)=x^(2)-4 and g(x)=[x] ([.] denotes greatest integer function), then the number of negative values in the range of g(f(x)) are.

If f(x) = sgn (x) and g (x) = (1-x^2) ,then the number of points of discontinuity of function f (g (x)) is -

Let f and g be two differentiable functins such that: f (x)=g '(1) sin x+ (g'' (2) -1) x g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2)) The number of solution (s) of the equation f (x) = g (x) is/are :

Let f(x)=sgn(x) and g(x)=x(1-x^(2)) The number of points at which f(g(x)) is not continuous and non-differentiable is

RESONANCE-TEST PAPERS-Math
  1. if the system of following equations in x and y 2x+3y+4=0,3x+5y+6=0 ...

    Text Solution

    |

  2. Let A=[{:(1,2,1),(0,1,-1),(3,1,1):}]. Find the sum of all the value of...

    Text Solution

    |

  3. Let g(x)=(f(x))^(2)+f(x)+19 where f(x)=|x-2|^(2)+|x-2|-2 then number o...

    Text Solution

    |

  4. if x^(4)+3cos(ax^(2)+bx+c)=2(x^(2)-2) has two solution with a,b,c in (...

    Text Solution

    |

  5. Consider the function f(x)=lim(nto infty) ((1+cosx)^(n)+5lnx)/(2+(1+co...

    Text Solution

    |

  6. A square matrix B is said to be an orthogonal matrix of order n if BB^...

    Text Solution

    |

  7. Let a,b,c be different nonzero real numbers and x,y,z be three numbers...

    Text Solution

    |

  8. Let f (x) = x^3-x^2-x+1 and g(x) = {max{f(t); 0<=t<=x}, 0<=x<=1, 3-x, ...

    Text Solution

    |

  9. if p^(2)+2q^(2)+5r^(2)+2pq-4qr+6p+6q-2r+10le0 for p,q,r in R then iden...

    Text Solution

    |

  10. Let (log(x)(2a-x))/(log(x)2)+(log(a)(x))/(log(a)2)=(1)/(log(a^(2)-1)2)...

    Text Solution

    |

  11. If a + b + c = 0, then one of the solution of |(a-x,c,b),(c,b-x,a),(b,...

    Text Solution

    |

  12. If number of integral values of x satisfying the inequality ((x)/(100)...

    Text Solution

    |

  13. if alpha+(1)/(alpha) and 2-beta-(1)/(beta)(alpha,betage0) are the root...

    Text Solution

    |

  14. in the given figure y=x^(2)+bx+c is a quadratic polynomial which meets...

    Text Solution

    |

  15. in the given figure y=x^(2)+bx+c is a quadratic polynomial which meets...

    Text Solution

    |

  16. All possible roots of polynomial with integral coefficients can be ide...

    Text Solution

    |

  17. All possible roots of polynomial with integral coefficients can be ide...

    Text Solution

    |

  18. Suppose a series of n terms given by S(n)=t(1)+t(2)+t(3)+. . . .+t(n) ...

    Text Solution

    |

  19. Suppose a series of n terms given by S(n)=t(1)+t(2)+t(3)+. . ..+t(n) ...

    Text Solution

    |

  20. A homogeneous polynomial of the second degree in n variables i.e., the...

    Text Solution

    |