Ch 1.1 - 39E

Chapter 6, Problem 39E

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QUESTION:

35-40. More composite functions Let f(x) = |x|, \(g(x)=x^{2}-4\), \(F(x)=\sqrt{x}\), and G(x) = 1/(x - 2). Determine the following composite functions and give their domains.

\(G\ \circ\ g\ \circ\ f\)

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QUESTION:

35-40. More composite functions Let f(x) = |x|, \(g(x)=x^{2}-4\), \(F(x)=\sqrt{x}\), and G(x) = 1/(x - 2). Determine the following composite functions and give their domains.

\(G\ \circ\ g\ \circ\ f\)

ANSWER:

Step by step solution Step 1 of 1 Consider given functions f(x) = |x|, g(x) = x 4, F(x) = x and G(x)= 1/(x2) . The function G g f ° ° be written as G (g(f(x))). First we must find the value of function (f(x)). In order to do that

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