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Methods2025 Exam 2 Section A · Q10CAS active1 mark

Composite function inequality with sine

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Consider $f: R \to R,\ f(x) = 2x^2 + x - 1$ and $g: R \to R,\ g(x) = \sin(x)$ .

The inequality $(f \circ g)(x) > 0$ is satisfied when

1 mark

A

\sin(x) \le -1

B

-1 < \sin(x) < 0

C

\frac{1}{2} < \sin(x) \le 1

D

0 < \sin(x) < \frac{1}{2}

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