Home
Class 12
MATHS
If the functions f, g and h are defined ...

If the functions f, g and h are defined from the set of real numbers R to R such that
`f(x)=x^(2)-1,g(x)=sqrt((x^(2)+1))`,
`h(x)={{:("0,","if",x<0),("x,","if",xge0):}`
Then find the composite function ho(fog)(x).

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof.

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof. Also, find the domain of the functions (fog)^(-1) and (gof)^(-1) .

If f,g,\ h are three functions defined from R\ to\ R as follows: the range of h(x)=x2+1

If f,g,\ h are three functions defined from R\ to\ R as follows: the range of h(x)=x^2+1

If f,g,\ h are three functions defined from R\ to\ R as follows: Find the range of f(x)=x^2

Statement-1: If f:R to R and g:R to R be two functions such that f(x)=x^(2) and g(x)=x^(3) , then fog (x)=gof (x). Statement-2: The composition of functions is commulative.

If the functions f(x) and g(x) are defined on R -> R such that f(x)={0, x in retional and x, x in irrational ; g(x)={0, x in irratinal and x,x in rational then (f-g)(x) is

Consider the function f (x) and g (x), both defined from R to R f (x) = (x ^(3))/(2 )+1 -x int _(0)^(x) g (t) dt and g (x) =x - int _(0) ^(1) f (t) dt, then The number of points of intersection of f (x) and g (x) is/are:

Let f and g be differrntiable functions on R (the set of all real numbers) such that g (1)=2=g '(1) and f'(0) =4. If h (x)= f (2xg (x)+ cos pi x-3) then h'(1) is equal to:

If function f:RtoR is defined by f(x)=sinx and function g:RtoR is defined by g(x)=x^(2), then (fog)(x) is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f(x)=x^4-6x^3+12 x^2-8x+3. If Rolles theorem is applicable to varp...

    Text Solution

    |

  2. The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a...

    Text Solution

    |

  3. If the functions f, g and h are defined from the set of real numbers R...

    Text Solution

    |

  4. xdotC(21)+ydotC(22)+zdotC(23) is (a)0 (b) delta (c) -delta (d) Non...

    Text Solution

    |

  5. The number of real solution of the equation. sin(e^(x))=5^(x)+5^(-x) ...

    Text Solution

    |

  6. qdotM(12)+ydotM(22)+mdotM(32)= (a) 0 (b) triangle (c) -triangle (d...

    Text Solution

    |

  7. The left hand derivative of f(x)=[x]sin(pix) at x = k, k in Z, is

    Text Solution

    |

  8. If 4a^2+c^2=b^2-4a c , then the variable line a x+b y+c=0 always passe...

    Text Solution

    |

  9. If f(x)={{:([x]+sqrt({x})",", xlt1),((1)/([x]+{x}^(2))",",xge1):}, the...

    Text Solution

    |

  10. pdotC(21)+qdotC(22)+rdotC(23)= (a) 0 (b) triangle (c) -triangle (d...

    Text Solution

    |

  11. Let A" "=" "{9," "10 ," "11 ," "12 ," "13} and let f" ":" "A ->N be de...

    Text Solution

    |

  12. If (0,1),(1,1)a n d(1,0) be the middle points of the sides of a triang...

    Text Solution

    |

  13. The quadratic equation whose root:s are sec^2 alpha and cosec^2 alpha...

    Text Solution

    |

  14. Consider the function f(x)=(.^(x+1)C(2x-8))(.^(2x-8)C(x+1)) Statement...

    Text Solution

    |

  15. If a, b, c are positive numbers such that a^(log(3)7) =27, b^(log(7)1...

    Text Solution

    |

  16. The graph of the function y =f(x). Then which of the following curve r...

    Text Solution

    |

  17. Let 0ltalphalt(pi)/(2) be a fixed angle. If P=(costheta,sintheta)andQ=...

    Text Solution

    |

  18. The interior angle bisector of angle P for the trangle P Q R whose coo...

    Text Solution

    |

  19. The graph of function f(1)(x)={[1,ifxle0],[x^2+1,if0ltxlt2] },f(2)(x)=...

    Text Solution

    |

  20. The set of solution of inequality [x]^2=-[x], where [.] denotes greate...

    Text Solution

    |