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

4-139.

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!