Home
Class 12
MATHS
If f(x)=3sqrt(5x), what is the value of ...

If `f(x)=3sqrt(5x)`, what is the value of `f^(-1)(15)`?

A

0.65

B

0.9

C

5

D

7.5

Text Solution

Verified by Experts

The correct Answer is:
C
`f^(-1)(15)` is the value of x that makes `3sqrt(5x)` equal to 15. set `3sqrt(5x)=15`, divide both sides by 3 to get `sqrt(5x)=5`. Therefore `5x=25`, and x=5.
Promotional Banner

Topper's Solved these Questions

  • COUNTING

    ENGLISH SAT|Exercise EXERCISE|10 Videos

  • ELEMENTARY ALGEBRA

    ENGLISH SAT|Exercise EXERCISE|12 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(1)/(sqrt(x)) , what is the domain of f(x)?

If f(x) = x^(2) + x + 5 and g(x) = sqrt(x) , then what is the value of (g(4))/(f(1)) ?

f(x)=(x-k)/(5) and g(x)=5x+7 . If f(g(x))=g(f(x)) , what is the value of k?

For the function f(x)=5x^2-7x , what is the value of f(-3) ?

If f(x)=(sqrt(x-1))/(x) , what is the domain of f(x) ?

If f (x) =2x ^(2) -5x +7, what is the value of f (8) -f (3) ?

If f(x)=|x+1|-1 , what is the minimum value of f(x) ?

Function f is defined by f(x)=(3)/(2)x+c . If f(6)=1 , what is the value of f(c) ?

If f(x) = 2x^4 - x^2 , what is the value of f(2sqrt(3)) ?

If f(x)=sqrt(x^(2)-3x+6) and g(x)=(156)/(x+17) , then what is the value of g(f(4)) ?

ENGLISH SAT-DIAGNOSTIC TEST -MCQs (EXERCISE)
  1. In the figure above, S is the set of all points in the shaded region. ...

    Text Solution

    |

  2. If a square prism is inscribed in a right circular cylinder of radius ...

    Text Solution

    |

  3. What is the length of the major axis of the ellipse whose equation is ...

    Text Solution

    |

  4. The fifth term of an arithmetic sequence is 26, and the eighth term is...

    Text Solution

    |

  5. What is the measure of one of the larger angles of the parallelogram a...

    Text Solution

    |

  6. If cosx=-0.25, then cos(pi-x)=

    Text Solution

    |

  7. The parametric equation of a line are x=3-t and y=1+t. the slope of th...

    Text Solution

    |

  8. If f(x)=2x^(2)-4 and g(x)=2^(x), the value of g(f(1)) is

    Text Solution

    |

  9. If f(x)=3sqrt(5x), what is the value of f^(-1)(15)?

    Text Solution

    |

  10. If 2sin^(2)x-3=3 cosx and 90^(@) lt x lt 270^(@), the number of values...

    Text Solution

    |

  11. Thirty percent of the 20 people in the math club have blonde hair. If ...

    Text Solution

    |

  12. Text Solution

    |

  13. Observers at locations due north and due south of a rocket launchpad s...

    Text Solution

    |

  14. The vertex angle of an isosceles triangle is 35^(@). The length of the...

    Text Solution

    |

  15. If the graph below represents the function y=f(x), which of the follow...

    Text Solution

    |

  16. If kgt4 is a constant, how would you translate the graph of y=x^(2) to...

    Text Solution

    |

  17. If f(x)=log(6)x and f(2)=0.231, the value of b is

    Text Solution

    |

  18. If a(n+1)=a(n-1)+2a(n) for n=2,3,4, . . . and a(1)=1 and a(2)=1, then ...

    Text Solution

    |

  19. Suppose costheta=u in 0 lt theta lt (pi)/(2). Then tantheta=

    Text Solution

    |

  20. A certain component of an electronic device has a probability of 0.1 o...

    Text Solution

    |