calculus

Choose any two specific functions (not already chosen by a classmate) that have inverses. Use your chosen functions to answer any one of the following questions:

If the inverses of two functions are both functions, will the inverse of the composite function made by the original functions also be a function?
If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function?
If the inverses of two functions are both functions, will the inverse of the product or quotient of the original functions also be a function?

  1. 👍 0
  2. 👎 0
  3. 👁 907
  1. so, did you pick two functions?
    what do you need to make sure the inverses are also functions?
    How about
    f(x) = x^3 and g(x) = 3x-7
    now form the composites and sums, etc.
    Are they functions?

    1. 👍 0
    2. 👎 0
  2. thanks steven the only problem is i am having a hard time with calculus i dont really understand any of this ..

    1. 👍 0
    2. 👎 0
  3. Be sure to make good use of https://www.khanacademy.org and https://wolframalpha.com

    Khanacademy is especially good at providing explanations. Be sure to make an account for your self (it's free) so you can track your progress, and if you take any of their quizzes, you'll get feedback.

    1. 👍 0
    2. 👎 0
  4. the inverse of f(x)=x^3 is f(x)=3sqrt x;this is a function.the inverse of g(x)=3x-7 is y=x/3 + 7/3;this is a function.what is the composite function what does that mean?

    1. 👍 1
    2. 👎 0
  5. since
    f^-1(x) = ∛x
    g^-1(x) = (x+7)/3

    (f^-1 ◦ g^-1)(x) = ∛(g^-1) = ∛((x+7)/3) which is a function.
    (g^-1 ◦ f^-1)(x) = (f^-1 + 7)/3 = (∛x + 7)/3 which is a function

    as long as f and g are strictly increasing or decreasing, they are 1:1, so they have inverse functions.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. ENGLISH. HELP PLS!

    Choose at least two of the selections above and write about the rites of passage that individuals in the selections confront. Provide evidence by including names of characters as well as specific details from the text to support

  2. Math

    A standard deck of playing cards is shuffled and three people each choose a card. Find the probability that the first two cards chosen are clubs and the third card is black if the cards are chosen with replacement, and if the

  3. Algebra 2

    for the functions f(x) = 5x +50 and g(x) = 1/5x -10 evaluate both f(g(x)) and g(f(x)). Are these functions inverses? do you put them into each other?

  4. PreCalc

    Choose any two specific functions that have inverses. Use your chosen functions to answer any one of the following questions - If the inverses of two functions are both functions, will the inverse of the sum or difference of the

  1. Algebra 2

    Which statements represent the relationship between y=2x and y=log2x ? Select each correct answer. The equation ​ y=log2x ​ is the logarithmic form of ​ y=2x ​.

  2. Math

    Can you help me with this problem Find the inverses of each of the functions below algebraically. a.p(r)=2r2+2r−1 b.3y+5x=18

  3. Math

    The 13-member math club needs to choose a student government representative. They decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Samara, who

  4. Please math help

    A: I am choosing an integer. I then subtract 10 from the integer, take the opposite of the result, add -3, and find the opposite of the new result. My result is -3. What is the original number? B: Judy wants to do the activity in

  1. Math

    Find the inverses of each of the functions below algebraically. p(r)=2r^2+2r−1 3y+5x=18

  2. math

    Choose any two specific functions (not already chosen by a classmate) that have inverses. Use your chosen functions to answer any one of the following questions: If the inverses of two functions are both functions, will the

  3. AP Biology

    Cells transport substances across their membrane. Choose THREE of the following four types of cellular transport Osmosis Active transport Facilitated diffusion Endo/exocytosis For each of the three transport types you choose, a.

  4. Math

    There are 4 odd functions and 3 even functions in the gallery of the 12 basic functions. After multiplying these functions together pairwise in different combinations and exploring their graphs, make a conjecture about the

You can view more similar questions or ask a new question.