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Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem 4-139

4-139.
  1. For f(x) = sin(x 2), , and , find the following functions and their domains. Homework Help ✎

    1. f(g(x))

    2. f(g(h(x)))

    3. h(f(g(x)))

    4. h(h(x))

Careful: f(g(h(x))) has a restricted domain.

Domain: Denominator cannot equal zero. For what value(s) of x does sin(x − 2) = 0? Also, due to the square root in the original function, x – 2 ≥ 0.

Domain: x > 2 and x ≠ 2+,πn, where n is an integer value.

Simplify!