Home
Class 12
MATHS
Let f ,g: R rarr R be two functions defi...

Let f ,g: R `rarr R` be two functions defined as f(x) = |x| +x and g(x) = |x| -x `AA x in R.`
Then find fog and gof .

Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|9 Videos

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

Similar Questions

Explore conceptually related problems

Let f, g: R rarr R defined by f(x) = |x| + x , g(x) = |x|-x for all x in R then find fog and gof .Hence find (fog) (-3) , (fog) (5) and (gof) (-2) .

If f(x) = x +7 and g(x) = x-7, x in R then find fog (6).

Let f , R to R and g , R to R defined as f(x) = | x | , g(x) = | 5x - 2| then find fog .

If f: R rarr R is defined by f(x) = 3x + 2 define f (f (x))

If the function'f : R rarr R is given by f(x) = x^(2) +2 and g:R rarr R is given by g(x) = (x)/(x-1), x ne 1 then find fog and gof and hence find fog (2) and gof (-3) .

Write fog if f:R rarr R and g: R rarr R is given by f(x) = | x| and g(x) = |5x - 2|.

Let f : R rarr R be defined by f (x) = (x)/(sqrt(1+x^(2))) AA x in R . Then find ( fofof ) (x) . Also show that fof ne f^(2) .

Let f : R rarr R be a function given by f(x) = px +q AA x in R . Find constants p and q such that fof = I_(R)

Let f:R rarr R be defined by f(x) = x^(2) +1 Then, find pre-images of 17 and - 3.

ARIHANT PRAKASHAN-VERY SIMILAR TEST 1 -Section B
  1. Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...

    Text Solution

    |

  2. Solve the following LPP. Maximise: Z = 5x + 3y Subject to: 5x +2...

    Text Solution

    |

  3. Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) ...

    Text Solution

    |

  4. If A=N xx N and * is a binary operation on A defined by (a, b) ** (c,...

    Text Solution

    |

  5. Solve for x, tan^(-1)(x-1)+tan^(-1)x +tan^(-1)(x+1) =tan^(-1)3x.

    Text Solution

    |

  6. In bag A, there are 5 white and 8 red balls, in bag B, 7 white and 6 ...

    Text Solution

    |

  7. Prove the following : [[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]]-(5x+4)(4-x...

    Text Solution

    |

  8. If A=[(2,0,1),(2,1,3),(1,-1,0)], then find A^(2)-5A+4I and hence find ...

    Text Solution

    |

  9. If A= [{:(1,-1),(2,-1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)...

    Text Solution

    |

  10. A box contains 4 orange and 4 green balls, another box contains 3 oran...

    Text Solution

    |

  11. If y=sin^(-1)(2x sqrt(1-x^(2))), then find (dy)/(dx) and determine its...

    Text Solution

    |

  12. If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...

    Text Solution

    |

  13. Find a point on the curve y=(x-2)^(2) at which the tangent is parall...

    Text Solution

    |

  14. Find the intervals in which the following functions is increasing or d...

    Text Solution

    |

  15. Examine the applicability of mean value theorem for the function f(...

    Text Solution

    |

  16. Evaluate the integral int(0)^(2pi)(1)/(1+e^(sinx))dx.

    Text Solution

    |

  17. Evaluate int log (1+x^2)dx

    Text Solution

    |

  18. Find the area of the region enclosed by the curve y=x e^(x^(2), the ...

    Text Solution

    |

  19. Solve (dy)/(dx)+2y =6e^(x).

    Text Solution

    |

  20. Find the differential equation of the family of curves given by x^(2...

    Text Solution

    |