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Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem 3-104

3-104.
  1. Define f(x) and g(x) so that h(x) = f(g(x)) for the following functions given that f(x) ≠ x and g(x) ≠ x. Homework Help ✎

    1. h(x) = (2x − 5)3

    2. h(x) = sin(3x − 1)

g(x) = 2x − 5
f(x) = x³

g(x) is the inner function.
f(x) is the outer function.
The 'inner' function can usually be found 'inside' (parenthesis), |absolute value| or

Refer to previous hints.