Find the range of following functions:

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Find the range of following functions: (1) f(x)=ln⁡(x−1)f(x) = \ln(x-1) . (2) f(x)=(13)2x−1f(x) = \left(\frac{1}{3}\right)^{2x-1} , where x∈Rx \in \mathbb{R} . (3) f(x)=x[x]f(x) = x^{[x]} , where 1≤x≤31 \leq x \leq 3 , where [⋅]→G.I.F.[\cdot] \rightarrow \text{G.I.F.}

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