Home
Class 12
MATHS
If f: (R) rarr (R) and g (R) rarr (R) de...

If `f: (R) rarr (R)` and `g (R) rarr (R)` defined by `f(x)=2x+3`and`g(x)=x^(2)+7`,then the values of x such that `g(f(x))=8`are

A

1)1,2

B

2)-3

C

3)-3

D

4)-1,-2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

If f:R rarr R and g : R rarr R are defined by f(x) = 3x + 2 and g(x) = x^2 - 3 , then the value of x such that g(f(x))=4 are

If f : R rarr R and g : R rarr R be two mapping such that f(x) = sin x and g(x) = x^(2) , then find the values of (fog) (sqrt(pi))/(2) "and (gof)"((pi)/(3)) .

Let f= R rarr R and g: R rarr R defined by f(x)=x+1,g(x)=2x-3 .Find (f+g)(x) and (f-g)(x) .

If f: R to R and g : R to R are given by by f(x)=cos x and g(x)=3x^(2) , then shown that gof ne fog .

If f: R to R and g: R to R are given by f(x)= cosx and g(x) =3x^(2) .Show that gof ne fog

If f: R rarr R be defined by , f(x) = 10x - 7 and g = f^-1 , then g(x)

Find gof and fog if f : R rarr R and g : R rarr R are given by f(x) = cosx and g(x) = 3x^(2)

If f: R rarr R is defined by f(x)=(x)/(x^(2)+1) find f(f(2))

Let f: R to R be defined by f(x) = x^(4) , then

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Two finite sets have m and n elements. The number of subsets of the fi...

    Text Solution

    |

  2. If f(x)=(a-x^(n))^(1 / n), then f(f(x))=

    Text Solution

    |

  3. If f: (R) rarr (R) and g (R) rarr (R) defined by f(x)=2x+3andg(x)=x^(2...

    Text Solution

    |

  4. If f(x)=2 x^(2)+x+1 and g(x)=3 x+1 then f o g(2)

    Text Solution

    |

  5. Two functions f: R rarr R and g: R rarr R are defined by f(x) = {...

    Text Solution

    |

  6. If f(x)=(25-x^(4))^(1 / 4) for 0ltxltsqrt(5), then f(f((1)/(2)))=

    Text Solution

    |

  7. If x ne 1 and f(x)=(x+1)/(x-1) is a real function then f(f(f(2))) is

    Text Solution

    |

  8. If f(x)=(2 x+1)/(3 x-2), then f o f(2) is equal to

    Text Solution

    |

  9. If the functions f, g, h are defined from the sets of real numbers R t...

    Text Solution

    |

  10. If f: (R) rarr (R) and g (R) rarr (R) defined by f(x)=2x+3andg(x)=x^(2...

    Text Solution

    |

  11. Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),(0","x=0),(1","x>0):} Then fo...

    Text Solution

    |

  12. If g(f(x))=|sin x| and f(g(x))=(sin sqrt(x))^(2) then

    Text Solution

    |

  13. Prove that cos ^(2) x + cos ^(2) (x + (pi)/(3) + cos ^(2) (x - (pi)/(...

    Text Solution

    |

  14. If e^(f(x))=(10+x)/(10-x), x in(-10,10) and f(x)=k f((200 x)/(100+x^(...

    Text Solution

    |

  15. Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)), x ne 0, then f(x)=

    Text Solution

    |

  16. If f(x)=(1)/(sqrt(x+2 sqrt(2 x-4)))+(1)/(sqrt(x-2 sqrt(2 x-4))), for x...

    Text Solution

    |

  17. Let X={1,2,3,4}, then one-one onto mappings f:XtoX such that f(1)=1,f(...

    Text Solution

    |

  18. Let, f: R rarr R be given by f(x)=(x+1)^(2)-1, x ge-1 . Then the set...

    Text Solution

    |

  19. Let f: R rarr R be given by f(x)=(x+1)^(2)-1, x ge-1 . Then f^(-1)(x)...

    Text Solution

    |

  20. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |