Ask questions and get helpful answers.

Find the rules for (f∘g)(x) and (g∘f)(x) and give the domain of each composite function.

f(x) = x^2 g(x) = √(1-x)
The Domain of (f∘g)(x) is :
(f∘g)(x) =
The Domain of (g∘f)(x) is :
(g∘f)(x) =

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩

2 answers

  1. (f∘g)(x) = [ √(1-x) ]^2 = 1-x all real x

    (g∘f)(x) = √(1-x^2) which is imaginary for |x| >1 so only from x = -1 to x =+1

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. wait that is wrong

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.