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Problem Given f ( x ) = 1 x − 2 f(x)=\dfrac{1}{x-2} f ( x ) = x − 2 1 , g ( x ) = ∣ x ∣ g(x)=|x| g ( x ) = ∣ x ∣ and h ( x ) = x 2 − 4 x + 3 h(x)=x^{2}-4x+3 h ( x ) = x 2 − 4 x + 3 , which of the following represents ( f ∘ g ∘ h ) ( x ) (f\circ g\circ h)(x) ( f ∘ g ∘ h ) ( x ) ?
a) 1 ∣ x 2 − 4 x + 3 ∣ + 2 \displaystyle \frac{1}{\,|x^{2}-4x+3|+2\,} ∣ x 2 − 4 x + 3∣ + 2 1
b) 1 x 2 − 4 x + 1 \displaystyle \frac{1}{x^{2}-4x+1} x 2 − 4 x + 1 1
c) 1 ∣ x 2 − 4 x + 3 ∣ − 2 \displaystyle \frac{1}{\,|x^{2}-4x+3|-2\,} ∣ x 2 − 4 x + 3∣ − 2 1
d) 1 ∣ x 2 − 4 x + 3 − 2 ∣ \displaystyle \frac{1}{\,|x^{2}-4x+3-2|\,} ∣ x 2 − 4 x + 3 − 2∣ 1
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