Home
Class 12
MATHS
Let f(x) = x^(2) - 5x + 6, g(x) = f(|x|)...

Let `f(x) = x^(2) - 5x + 6, g(x) = f(|x|), h(x) = |g(x)|`
The set of values of `x` such that equation `g(x) + |g(x)| = 0` is satisfied contains

A

`x in [1,2]`

B

`x in [-2,-1]uu[1,2]`

C

`x in [-2,-1]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`h(x)+g(x)=0` is satisfied
if `x in [-2,-1]uu[1,2]`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Let f(x) = x^(2) - 5x + 6, g(x) = f(|x|), h(x) = |g(x)| The set of value of mu such that equation h(x) = mu has exactly 8 real and distinct roots, contains. (a) 0 (b) 1/8 (c) 1/16 (d) 1/4

Let f(x)=sqrt(x^(2)-4x) and g(x) = 3x . The sum of all values for which f(x) = g(x) is

If f(x) = x^(2) + x + 5 and g(x) = sqrt(x) , then what is the value of (g(4))/(f(1)) ?

Suppose f, g, and h be three real valued function defined on R. Let f(x) = 2x + |x|, g(x) = (1)/(3)(2x-|x|) and h(x) = f(g(x)) The domain of definition of the function l (x) = sin^(-1) ( f(x) - g (x) ) is equal to

f(x)=(x-k)/(5) and g(x)=5x+7 . If f(g(x))=g(f(x)) , what is the value of k?

If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x) , then the value of g'(1) is

If f(x)=(1)/((1-x)),g(x)=f{f(x)}andh(x)=f[f{f(x)}] . Then the value of f(x).g(x).h(x) is

If f(x)=log_(10)x and g(x)=e^(ln x) and h(x)=f [g(x)] , then find the value of h(10).

Let f (x) = x^(3)+ 4x ^(2)+ 6x and g (x) be inverse then the vlaue of g' (-4):

Let f(x) = 3x^(2) + 6x + 5 and g(x) = x + 1 be two real functions. Find (f+g)(x), (f-g)(x), (fg)(x) and ((f)/(g))(x)

ALLEN-TEST PAPERS-part-2 Mathematics
  1. The equations of the transverse and conjugate axes of a hyperbola are...

    Text Solution

    |

  2. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  3. Let f(x) = x^(2) - 5x + 6, g(x) = f(|x|), h(x) = |g(x)| The set of v...

    Text Solution

    |

  4. If θ is an acute angle and tanθ+cotθ=2 , find the value of tan^7θ...

    Text Solution

    |

  5. Find the least value of k such that the equation (ln x) + k = e^(x-k) ...

    Text Solution

    |

  6. Volume of tetrahedron formed by the planes x+y=0, y+z=0, z+x=0,x+y+z-1...

    Text Solution

    |

  7. If f' ((x)/(y)). f((y)/(x))=(x^(2)+y^(2))/(xy) AA x,y in R^(+) and f(1...

    Text Solution

    |

  8. Range of the function f defined by (x) =[(1)/(sin{x})] (where [.] an...

    Text Solution

    |

  9. The vlaue of sqrt3cot20^(@)-4cos20^(@), is

    Text Solution

    |

  10. Which of the following function is surjective but not injective. (a) ...

    Text Solution

    |

  11. f:RrarrR is a function satisfying f(x+5)gef(x)+5 and f(x+1)lef(x)+1. ...

    Text Solution

    |

  12. If f(x)=((1-tanx)/(1+sinx))^(cosec x) is to be made continuous at x=0,...

    Text Solution

    |

  13. If a(1) is the greatest value of f(x) , where f(x) =((1)/(2+[sinx])) (...

    Text Solution

    |

  14. The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...

    Text Solution

    |

  15. Let f:N rarr N be a function that (i) x-f(x)=19[x/19]-90[f(x)/90], f...

    Text Solution

    |

  16. The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a)[0,pi/2] (b) (0,pi/...

    Text Solution

    |

  17. Let f:[-pi/3,(2pi)/3] rarr [0,4] be a function defined as f(x)=sqrt(3)...

    Text Solution

    |

  18. If vec(alpha), vec(beta),vec(gamma) are three non-collinear unit vecto...

    Text Solution

    |

  19. If the angle between the vectors a=hat(i)+cosxhat(j)+hat(k) and b=(sin...

    Text Solution

    |

  20. Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b...

    Text Solution

    |