Home
Class 12
MATHS
If f:RR rarrRR and g:RR rarrRR are defin...

If `f:RR rarrRR and g:RR rarrRR` are 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, 2

B

`-1, 2`

C

`-1, -2`

D

`1, -2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)|138 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If f:R rarrR and g:R rarrR are defined by f(x)=2x+3, g(x)=x^(2)+7 then the value of x for which f[g(x)]=25 are

If f:RrarrR,g:RrarrR are defined by f(x)=3x-1 and g(x)=x^(2)+1 , then find ("gof")(2a-3)

If f:R rarr R, g:R rarr R are defined by f(x)=x^(2)+2x-3, g(x)=3x-4 , then (fog)(-1)=

If f:RtoR,g:RtoR are defined by f(x)=3x-1 and g(x)=x^(2)+1 , then find (i) (fog)(2)

IF f:R to R,g:R to R are defined by f(x)=3x-1 and g(x)=x^2+1 , then find (fog)(2)

If f:R to R , g:R to R are defined by f(x) = 3x-1 and g(x) = x^(2) + 1 then find (fog)(2) .

If f : R to R , g : R to R are defined by f (x) = 4x - 1 and g (x) = x ^(2) + 2 then find (fof) (x)

If f : R to R , g : R to R are defined by f (x) = 4x - 1 and g (x) = x ^(2) + 2 then find (gof) (x)

If f:Rrrarr RR and g: RR rarr RR are defined by f(x)=|x| and g(x)=[x-3]" for "x in RR, then {g(f(x)):-8//5 lt x lt 8//5}=

DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. If f(x)=logx, g(x)=x^(3) then f[g(a)]+f[g(b)]=

    Text Solution

    |

  2. If f:R rarrR and g:R rarrR are defined by f(x)=2x+3, g(x)=x^(2)+7 then...

    Text Solution

    |

  3. If f:RR rarrRR and g:RR rarrRR are defined by f(x)=2x+3 and g(x)=x^(2)...

    Text Solution

    |

  4. Suppose f:[-2, 2] rarr RR is defined by f(x)={{:(-1" for "-2 le x le 0...

    Text Solution

    |

  5. Let Q be the set of all rational number in [0, 1] and f:[0, 1]rarr[0, ...

    Text Solution

    |

  6. If f : R rarr R and g: R rarr R are given by f(x)=|x| and g(x)={x} for...

    Text Solution

    |

  7. If g[f(x)]=|sinx|, f[g(x)]=(sinsqrtx)^(2) then

    Text Solution

    |

  8. If g[f(x)]=|sinx|, f[g(x)]=(sinsqrtx)^(2) then

    Text Solution

    |

  9. If f(n)=(-1)^(n-1)(n-1) and g(n)=n-f (n)AA n in N then (gog)(n)=

    Text Solution

    |

  10. If f(x) =(p-x^n)^(1/n) ,p >0 and n is a positive integer then f[f(x)] ...

    Text Solution

    |

  11. If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

    Text Solution

    |

  12. If f:[-6, 6]rarr RR defined by f(x)=x^(2)-3" for " x in R then (fofof...

    Text Solution

    |

  13. If f(x)=(1)/(sqrt(x+2sqrt(2x-4)))+(1)/(sqrt(x-2sqrt(2x-4))) for x gt 2...

    Text Solution

    |

  14. If f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosxcos(x+pi//3) and g(5//4)=1 then ...

    Text Solution

    |

  15. If f(x)=cos^(2)x+cos^(2)(x+60^(@))+cos^(2)(x-60^(@)) and g(3//2)=5 the...

    Text Solution

    |

  16. If y=f(x)=(2x-1)/(x-2), then f(y)=

    Text Solution

    |

  17. If f(x)=(3x-7)/(5x-3) then (fof)(x)=

    Text Solution

    |

  18. If f(x)=-|x|, then (fofof)=

    Text Solution

    |

  19. If f(x)=(x)/(sqrt(1-x^(2))), g(x)=(x)/(sqrt(1+x^(2))) then (fog)(x)=

    Text Solution

    |

  20. If f(x)=log.(1+x)/(1-x) and g(x)=(3x+x^(3))/(1+3x^(2)) then (fog) (x)...

    Text Solution

    |