A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
The following function is onetoone. Find its inverse. Find the domain and range of f and f^1
f(x) = 2x + 4
anonymous
 4 years ago
The following function is onetoone. Find its inverse. Find the domain and range of f and f^1 f(x) = 2x + 4

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328466575161:dw just switch the x and y and solve for y to get the inverse function

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0For the domain of f(x) you just have to look at the equation and ask yourself, " is there any number x could not be?" For example, if that was a sqrt(x) instead of a regular x, there would be limitations (x cannot be negative, b/c you can't take the square root of a negative number).

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So in our example, there's not really anything that could limit x. It could be a positive number, it could be a negative number, it could be a fraction  it could be anything and it would be okay, you could do that computation with no problems. For the range of f(x) now:

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You know that y = 2x+4 is a straight line. (if you don't, just graph it on your graphic calculator or even look it up online). A straight line continues in both positive y directions (up) and negative y directions (down) forever. It'll never stop. So, there are no limits on what y can be. So, in conclusion for f(x) the domain is all real numbers, and similarly the range is all real numbers.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Same thing for f(x)^1, too. Just logically look at the equation and think about limitations. In this case, there are none.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.