Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1-x^{-1}}{1+x^{-1}}=$	A. \(\boldsymbol{-1}\)
	B. \(\boldsymbol{\frac {x\,+\,1} {x\,-\,1}}\)
	C. \(\boldsymbol{\frac {x\,-\,1} {x\,+\,1}}\)
	D. \(\boldsymbol{\frac {x\,-\,1} {x}}\)
	E. \(\boldsymbol{\frac {1} {x^2\,+\,1}}\)
	F. \(\boldsymbol{\frac {1\,+\,x} {1\,-\,x}}\)
	G. \(\boldsymbol{\frac {1\,-\,x} {1\,+\,x}}\)

[ B-7021 - op net sinds 3.2.2020-(E)-4.11.2024 ]

Translation in E N G L I S H

See above

Oplossing - Solution

${\color{DarkGreen} \frac{1-x^{-1}}{1+x^{-1}}= \frac{1-\frac{1}{x}}{1+\frac{1}{x}}= \frac{\frac{x-1}{x}}{\frac{x+1}{x}}=\frac{x-1}{x}\cdot \frac{x}{x+1}=\frac{x-1}{x+1} }$

gricha