Post a New Question

Math (Ms. Sue Please Help)

posted by .

Determine whether the following statement makes sense or does not make sense, and explain your reasoning (modified from true/false format of text): If

f(x) = 3x, then f^-1 (x) = 1/3x

A) This makes sense because the inverse would divide by 3 to "undo" the multiplication by 3 in f(x).

B) This does not make sense because although we would divide by 3 to "undo" the multiplication by 3 in f(x), the x would appear in the numerator not the denominator.

  • Math (Ms. Sue Please Help) -

    You have to be careful with the term inverse funtion.That is not the same as reciprocal.

    if f(x)=3x=y
    then the inverse can be found this way:
    y=3x
    x=3y
    y=x/3 or f^-1(x)=x/3

    check: inverse(function)must equal x

    so f^-1 (f)= 3(x/3)=x so in fact it is the inverse.
    So false. Go with B. When dealing with functions, the term "inverse" seldom means reciprocal.

  • math -

    Please help HM

  • Math -

    are u sure about this

  • Math (Ms. Sue Please Help) -

    Christian -- Bobpursley is a math/physics/teacher. HM is probably a high school student.

  • Math (Ms. Sue Please Help) -

    Yes, Christian. But don't trust me. http://www.youtube.com/watch?v=Ec5YYVxyq44 That is the same message.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Find the value of the missing digit that makes the statement true. 214,21_ is divisible by 11 Determine whether the statement is true or false. Why?
  2. Algebra (please help)

    Determine whether the following statement makes sense or does not make sense, and explain your reasoning (modified from true/false format of text): If f(x) = 3x, then f^-1(x) = 1/3x A) This makes sense because the inverse would divide …
  3. Math

    Determine whether the following statement makes sense or does not make sense, and explain your reasoning: By modeling attitudes of college freshmen from 1969 through 2006, I can make precise predictions about the attitudes of the freshman …
  4. Math

    Determine whether the following statement makes sense or does not make sense, and explain your reasoning: When I'm trying to determine end behavior, it's the coefficient of the leading term of a polynomial function that I should inspect. …
  5. calculus

    Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. a- if f is a function of x and y and a is a real number, then f(ax, ay)= af(x,y). b- …
  6. calculus

    determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false a) the function f(x)=3/2 +cx^-2 is a solution of the differential equation xy'+2y=3 b) …
  7. math

    The lengths in inches (x and y) of two fish are related by the equation 5x – 4y = 24. The two ordered pairs that follow are solutions to the equation: (4, -1) (12,9) Which statement best evaluates whether these two solutions make …
  8. english

    The neighbors and ______ shared the cost of the storage rental. Which of the following options best completes the sentence above?
  9. Math

    1. Write the converse of the following true conditional statement. if the converse is false, write a counterexample. If a < 10, then a < 15 a) if a > 10, the a > 15; false. Counterexample: a=12 and a<15. b) if a <15, …
  10. Math

    Determine whether the statement is true or false. If the statement is true of false explain why. Can you please help?

More Similar Questions

Post a New Question