Home
Class 10
MATHS
f(x)=|4x|-2x^(3). If f(a)=66, which of t...

`f(x)=|4x|-2x^(3)`. If `f(a)=66`, which of the followintg could be the value of a ?

A

`-6`

B

`-4`

C

`-3`

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
`f(a)=|4a|-2a^(3)`. To find possible values of a, solve the absolute value equation `|4a|-2a^(3)=66`. If `|4a|-2a^(3)=66`, then `4a-2a^(3)=66` and `-4a - 2a^(3)=66`. Plug the values of the answer options into each of the equations until you find one that works, starting with the middle value : `-4(-3)-2(-3)^(3)=12+54=66`. So `a=-3` is one possible value.
Promotional Banner

Topper's Solved these Questions

  • PRACTICE TEST 3

    KAPLAN|Exercise PRACTICE TEST|50 Videos

  • QUADRATIC EQUATIONS AND THEIR GRAPHS

    KAPLAN|Exercise Multiple Choice Question|20 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x^(2)+2 , which of the following could be a value of f(x)?

If f(x)=4x+2 , which of the following is the graph of f(x)?

The graph of y = f(x) is shown to the right. If f(-1) = v , then which one of the following could be the value of f(v) ?

If f(x)=4x-3 and g(x)=x-4 , which of the following has a value of -11 ?

Which of the following could be g(x) if f(x)=5x^(2)+4 and f(g(3))=84 ?

Two graphs f(x) and h(x) are shown above. IF f(x)=3x+4 and f(x) and h(x) are perpendicular, which of the following could be the equation of h(x)?

If f(x)=2x^(2)+3 , for which of the following values of x does f(x)=21 ?

IF f(x) = sqrt(x) and the composite function f(g(x))= sqrt(4x^2-5) , which of the following could be g(x) ?

If the graph above is that of f(x), which of the following could be f(x)?

KAPLAN-PRACTICE TEST 4-PRACTICE TEST
  1. If |2x-4|ge (x)/(4), which of the following statements must be true ?

    Text Solution

    |

  2. f(x)=|4x|-2x^(3). If f(a)=66, which of the followintg could be the val...

    Text Solution

    |

  3. If x ge 4, A^(2)=x^(2)+12x + 36, and B^(2)=4x^(2)-28x+49, then (A+B)^(...

    Text Solution

    |

  4. f(x)=3x^((2)/(3)) f(64)=

    Text Solution

    |

  5. A circle center (3, 8) contains the point (2, -1). Which of the follow...

    Text Solution

    |

  6. For all y ne 5, (y^(3)-6y^(2)+3y+10)/(y^(2)-10y+25)=

    Text Solution

    |

  7. Which of the following functions has a domain of x le 3 ?

    Text Solution

    |

  8. If x^(2)-8x+13 = 0, x =

    Text Solution

    |

  9. What is the perimeter of a triangle with vertices at coordinates (-2, ...

    Text Solution

    |

  10. f(x)=x+4 g(x)=6-x^(2) What is the maximum value of g(f(x)) ?

    Text Solution

    |

  11. If x^((3)/(2))=27, x^((5)/(2))=

    Text Solution

    |

  12. Which of the following lines intersects y = (x)/(3)+5 at (9, 8) and do...

    Text Solution

    |

  13. In the right triangle in Figure, If theta = 67^(@), what is the value ...

    Text Solution

    |

  14. What is the minimum value of f(x)= |2x - 5|+6 ?

    Text Solution

    |

  15. If (n^(n))/(n!)=(nx)/((n-1)!), x =

    Text Solution

    |

  16. (ac+b^(2))/(bc)=

    Text Solution

    |

  17. The domain of f(x) = (4)/(|x|-x) is

    Text Solution

    |

  18. A square is formed by the points (4, 5), (12, 5), (12, -3), and (4, -3...

    Text Solution

    |

  19. If s = t + sqrt((r^(3))/(q)), what is the value of r in terms of q, s ...

    Text Solution

    |

  20. The hyberbola (x^(2)+4x+4)/(25)-(y^(2)-6x+9)/(16)=1 is centered at whi...

    Text Solution

    |