Find the domain and range of the following functions:

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

Problem

Find the domain and range of the following functions: (1) f(x)=ln⁡2x−ln⁡x+1f(x)=\ln^2x-\ln x+1 (2) f(x)=x4−4x2+1f(x)=x^4-4x^2+1 (3) f(x)=ln⁡(x2−2x+3)f(x)=\ln(x^2-2x+3) (4) f(x)=e2x−16ex+8f(x)=e^{2x}-16e^x+8 (5) f(x)=1x2−xf(x)=\frac{1}{\sqrt{x^2-x}} (6) f(x)=x+1xf(x)=x+\frac{1}{x}

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