Question

The functions f and g are given by f(x) = x^2+2 and g(x)= x+1^ (1/2) determine f(f(x))

Answer 1

i have no clue what they mean with this

Answer 2

Are you sure it's f(f(x)) and not g(f(x)) or f(g(x))?

Answer 3

f(g(x)) aswell , g(f(x)) and f(f(x-1))

Answer 4

\( \color{Black}{\Rightarrow f(f(x)) = f(x^2 + 2) }\)

Answer 5

\( \color{Black}{\Rightarrow f(x^2 + 2) = (x^2 + 2)^2 + 2 }\)

Answer 6

a detailed answer to one of those would be nice i could use an example

Answer 7

Willbert, it simply means you put the function inside itself.

Answer 8

\(f(f(x))\) means "put" \(f(x)\) where \(x\) normally is.

Answer 9

A function of a function :)

Answer 10

ok ok I'll be backk later : ) I should go read the text book

Answer 11

It always helps. I <3 my textbooks.

Answer 12

What's the name of your math textbook @Limitless for algebra?

Answer 13

Algebra (highschool level) is best covered via online texts. Purplemath.com is extremely thorough. Sometimes too thorough. Paul's online notes is good for more advanced things such as Precalc and Calculus. As for even higher subjects, SOSmath.com surprises me--they include things on differential equations and don't really stop there at all, lol.

Khanacademy is also excellent. But, to be honest with you, I have probably done over 10,000 math problems in my entire life. That's what it comes down to at the end of the day: Dedication.

Oh, and I highly recommend reading Wikipedia often. I can't tell you how many times I've read something I barely understood and then ended up using it later. :)

Answer 14

Oh, cool thanks I was looking for a textbook to borrow from the library that has a lot of question that I could practice but I'll try those sites. Do you know where the practice questions are on Paul's online notes for algebra?

Answer 15

Paul seems to include problems in the notes. Here is one example http://tutorial.math.lamar.edu/Classes/Alg/IntegerExponents.aspx.

Answer 16

http://tutorial.math.lamar.edu/Classes/Alg/IntegerExponents.aspx

Answer 17

Yeah I noticed... but I saw practice questions somewhere and don't recall where...

Answer 18

I'm not particularly familiar with where they are, either. Just google worksheets or practice problems for specific topics and you can find them. :D

Answer 19

Okay :). Thanks. Do you know how to do the question I just posted?

Answer 20

what question?