Home
Class 10
MATHS
Given f(x) = 3 + x : g(x) = x^(2) h(x) =...

Given f(x) = 3 + x : g(x) = `x^(2)` h(x) =` (1)/(x)` find fo (goh)

Text Solution

Verified by Experts

The correct Answer is:
3 + `(1)/(x^(2))`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|20 Videos
  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise ADDITIONAL QUESTION SOLVED (III. ANSWER THE FOLLOWING).|12 Videos
  • SAMPLE PAPER - 10 (UNSOLVED)

    FULL MARKS|Exercise PART - IV|2 Videos

Similar Questions

Explore conceptually related problems

Given f(x) = 5x + 2 , g(x) = 2x - 3, h(x) = 3x + 1, Verify fo (goh ) = (fog ) oh

Given f(x) = 3x - 2 , g(x) = 2x^(2) find (i) fog and (ii) gof what do you find

Given f(x) = x^(2) + 4 : g(x) = 3x - 2 : h(x) = x - 5, show that the composition of functions is associative.

Given f(x) = x - 2: g(x) = 3x + 5 : h (x) = 2x - 3. Verify that (goh) of = go (hof )

Given f(x) = x-2 , g (x) = 3x + 5 , h (x) = 2 x - 3 verfiy that (goh) of = go ( hof).

Given f(x) = x-1, g(x) = 3x+1 and h(x) = x^2 show that (fog )oh = f o(goh)

Given f (x) = x^(2) - 3 , g(x) = 3x + 2 , h (x) = x - 7 . Show that the composition of function is associative .

If f(x)=x^(2)-1, g(x)=x-2 find a, if gof(a)=1.

Let f, g, h be three functions from R to R defined by f(x)=x+3, g(x) = 2x^(2) ,h(x) = 3x +1. Show that (fog)oh=fo(goh).

FULL MARKS-RELATIONS AND FUNCTIONS -ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)
  1. Let A = { 5,6,7,8} , B = {-11,4,7,-10,-7-9,-13} and f = {(x,y): y = ...

    Text Solution

    |

  2. Let A={1, 2, 3, 4, 5}, B=N and f: A to B be defined by f(x)=x^(2). Fin...

    Text Solution

    |

  3. Find the domain and range of the following (i) f = {(1,2),(2,3),(3,...

    Text Solution

    |

  4. Given P = {-2,-1,0,1} Q= {1,-2,6,-3} R = {x,y/y = x^(2) - 3 x in P...

    Text Solution

    |

  5. Given f(x) = 3x - 2 , g(x) = 2x^(2) find (i) fog and (ii) gof what d...

    Text Solution

    |

  6. If f : R rarr R is defined by f (x) = ax + 3 and g : R rarr R is def...

    Text Solution

    |

  7. Given f(x) = 3 + x : g(x) = x^(2) h(x) = (1)/(x) find fo (goh)

    Text Solution

    |

  8. If f(x) = x + 3 where A = { 4,6,8,10} B = {7,9,11,13} and f : A rarr...

    Text Solution

    |

  9. Given A = {2,3,5}, B = {1,2,3} C = {2,5}, D = {2,3,5} check if (A ...

    Text Solution

    |

  10. Study the relation given below an set builder form. Represent each of ...

    Text Solution

    |

  11. State whether the following graphs represent a founction. Give reason ...

    Text Solution

    |

  12. Let A={6,9,15,18,21}, B={1,2,4,5,6} and f : A to B be defined by f...

    Text Solution

    |

  13. Let A = {4,6,8,10} and B= {3,4,5,6,7}. If f : A rarr B is defined by...

    Text Solution

    |

  14. A function f [-3, 7] rarr R is defined as follows f(x) = {{: (4x^(2) -...

    Text Solution

    |

  15. A function f:[-7, 6) to R is defined as follows. f(x)={(x^(2)+2x+1, ...

    Text Solution

    |

  16. Let A={0, 1, 2, 3} and B={1, 2, 3, 5, 7, 9} be two sets. Let f: A to B...

    Text Solution

    |

  17. A function f : (1,6) rarr R is defined as follows f(x) = {{: (1 + x,...

    Text Solution

    |

  18. Given f(x) = 5x + 2 , g(x) = 2x - 3, h(x) = 3x + 1, Verify fo (goh ...

    Text Solution

    |

  19. Given f(x) = x^(2) + 4 : g(x) = 3x - 2 : h(x) = x - 5, show that the...

    Text Solution

    |

  20. Given f(x) = x - 2: g(x) = 3x + 5 : h (x) = 2x - 3. Verify that (g...

    Text Solution

    |