Question

QF Q6.) Find the following function for d.

Answer 1

G(f(2)) = g(2·2 -2) = g(2) = 5·2² -3
g(f(2)) = 17

Answer 2

$\text{Solution for}$ $f(x)=2x-2$ and $g(x)=5x^2-3$

$\dfrac{d}{dx} \left(2x-2\right)=2 \ \ \ =\ \textgreater \ \ \ \ \dfrac{d}{dx}\left(2x\right)-\dfrac{d}{dx}\left(2\right)$ 

$2\dfrac{d}{dx}\left(x\right) = 2$ 

$\dfrac{d}{dx}\left(2\right) = 0$ 

$\text{Therefore, 2 - 0 = 2}$

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$\dfrac{d}{dx}\left(5x^2\right)-\dfrac{d}{dx}\left(3\right)$ 

$5\dfrac{d}{dx}\left(x^2\right) =\ \textgreater \ 5 * \:2x =\ \textgreater \ 10x$ 

$5*2^2 -3$ 

$g(f(2)) = 17$