Post a New Question

Algebra

posted by .

If f(a)=K, then which of the following must be true?

f(K)=a
f inverse(k)=a
f inverse(a)=K

  • Algebra -

    Properties of inverses:
    If f(a)=K
    then
    1. f-1(K)=a
    2. f-1(f(a))=a
    ... etc

    None of the above answers is correct unless the second one says
    f inverse(K)=a (i.e. uppercase K)

  • Algebra -

    If ƒ(x ) = 2x, then ƒ -1(x ) =

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. PreCalc!

    sketch a graph whose domain is the interval [0, infinity) but whose domain must be restricted to [0,4] so that the function can have an inverse. (The only one i can think of is a parabola but she said we cant use that one) Consider …
  2. Math

    Determine whether each equation is true for all x for which both sides of the equation are defined. If it is true, support your conclusion with a sketch using the unit circle. If it is false, give a counterexample. inverse sin(-x)=-inverse …
  3. Grade 11 Algebra 2/Trig

    Given : f(x) = x^2 and g(x) = 2^x The inverse of g is a function, but the inverse of f is not a function. Explain why the statement is true.
  4. Trigonometry

    Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^-1(y). …
  5. Calculus

    F(x) = 1-x and g(x) = 1/x These functions have the property that f = f^-1(inverse) and g = g ^-1. That is, the inverse of f is equal to itself and the inverse of g is also equal to itself. Take the composition of each function with …
  6. Calculus, check my answers, please! 3

    Did I get these practice questions right?
  7. Algebra

    what is the inverse of the linear parent function?
  8. Advanced Algebra

    What is the inverse of each of the functions defined by the following equations, if the inverse exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse will exist. In each case, give …
  9. Math / Algebra

    Can you check my work? Thank you :) 1. The Domain of a function F is the same as the range of F^-1 (True or False?
  10. Linear Algebra

    which of the following functions is the inverse of F(X)=3x F(X)=-3X F(X)=X (cubed)**** F(X)= X/3 This function does not have an inverse. Thank you!

More Similar Questions

Post a New Question