Consider the functions

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the functions f(x)=1x+1f(x)=\dfrac{1}{x+1}, g(x)=xg(x)=\sqrt{x} and h(x)=ln⁡xh(x)=\ln x. (a) Determine the domain of h∘g∘fh\circ g\circ f. (b) Evaluate (h∘g∘f)(3)(h\circ g\circ f)(3), if it exists.

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