A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
...Given f(x)= X ^2 and g(x)= 2^x
a) the inverse of g is a function, but the inverse of f is no a function. Explain why this statement is true.
b) Find g ^1(f (3) ) to the nearest tenth
please help! i really tried to do it but i can't find a similar problem in my notes :SS
anonymous
 3 years ago
...Given f(x)= X ^2 and g(x)= 2^x a) the inverse of g is a function, but the inverse of f is no a function. Explain why this statement is true. b) Find g ^1(f (3) ) to the nearest tenth please help! i really tried to do it but i can't find a similar problem in my notes :SS

This Question is Closed

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.0With a function, it works this way: you put in a number, do the math and out comes another number. With 2^x it is just like this. The reverse is also true: if you have some number that is the outcome of 2^x, there is always just one x with which you started. E.g: 2^3=8. If you work back from 8 you only get 2. With x^2 it is just a little different: you put in 2, out comes 4. No problem. But if 4 is an outcome, you have to choose between two numbers: it could that you put in 2, but it also could have been 2: (2)^2 =4. x^2 has no inverse, because you do not have a unique origin of a number. Compare this with 2^x...

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.0yw! Hope you understand now...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0kind of...who cares i never really understood it..
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.