The functions are given by f(x)= cases 2x+1, & x<0

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

The functions are given by f(x)={2x+1,x<0,x2,x≥0,g(x)=∣x∣,h(x)=11+x.f(x)=\begin{cases} 2x+1, & x<0,\\ x^{2}, & x\ge 0, \end{cases}\qquad g(x)=|x|,\qquad h(x)=\dfrac{1}{1+x}. Find (h∘g∘f)(x)(h\circ g\circ f)(x) for all real xx.

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