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Methods2025 NHT Exam 2 Section A · Q11CAS active1 mark

Range of a composite log–sine function

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Consider the functions $f: (0, \infty) \to R$ , $f(x) = \log_e(x)$ and $g: R \to R$ , $g(x) = \sin(x) + 2$ .

The range of the function $f(g(x))$ is

1 mark

A

(0, \infty)

B

[0, 1]

C

[0, \log_e(3)]

D

[1, 3]

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