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Methods2023 Exam 2 Section A · Q7CAS active1 mark

Domain of the derivative of a composite function

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Let $f(x) = \log_e x$ , where $x > 0$ and $g(x) = \sqrt{1 - x}$ , where $x < 1$ .

The domain of the derivative of $(f \circ g)(x)$ is

1 mark

A

x \in R

B

x \in (-\infty, 1]

C

x \in (-\infty, 1)

D

x \in (0, \infty)

E

x \in (0, 1)

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