Let $f(x) = \cos{2x}$ and $g(x) = 2x^2 - 1$. Find $f \left( \frac{\pi}{2} \right) $[2] Fi

Question

Let $f(x) = \cos{2x}$ and $g(x) = 2x^2 - 1$. Find $f \left( \frac{\pi}{2} \right) $[2] Find $(g \circ f) \left( \frac{\pi}{2} \right) $.[2] Given that $ (g \circ f)(x)$ can be written as $\cos{(kx)}$, find the value of $k, k \in \mathbb{Z}$[3]

Accepted Answer

(a) $-1$ (b) $1$ (c) $k=4$

Functions - Composite Functions

Functions - Composite Functions

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