For and , determine…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For f(x)=∣x−3∣f(x)=|x-3| and g(x)=1x+1g(x)=\dfrac{1}{x+1}, determine (g∘f)(x)(g\circ f)(x). (a) 1∣x−3∣−1\dfrac{1}{|x-3|}-1 (b) ∣x−3∣∣x−3∣+1\dfrac{|x-3|}{|x-3|+1} (c) 1∣x−3∣+1\dfrac{1}{|x-3|+1} (d) ∣x−3∣+1|x-3|+1

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