It is clear from Figure 2.16 that the function g(x) = e 3x + e 2x

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It is clear from Figure 2.16 that the function g(x) = e3x + e2x − e2 has a single root at x ≈ 0.5. Find the value of this root, accurate to four decimal places.(x)f e 6 0 -0.5 0 I 0.5 1 f(x) 20 10 0 -10 -1 -0.5 0 I 0.5 1

f(x) 20 15 10 0 -1 0 2 (c) Figure 2.16 Roots of particular composite exponential functions. (a) f(x) = 2x -

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