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FinnZ [79.3K]
4 years ago
5

QF Q6.) Find the following function for c.

Mathematics
2 answers:
GarryVolchara [31]4 years ago
8 0
\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}

_____________________________________________________

\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 

<span>5*2^2 -3 

</span><span>g(f(2)) = 17 

</span>2*17 -2 = 32&#10; 

hammer [34]4 years ago
7 0
(f∘g)(x) = f(g(x))
(f∘g)(2) = f(g(2)) = f(5·2² -3) = f(17) = 2·17 -2 = 32

(f∘g)(2) = 32
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