## Algebra and Trigonometry 10th Edition

False. $f(x-2)\ne f(x)-f(2)$
$f(x)-f(2)=\ln x-\ln 2$ Using the Quotient Property: $f(x)-f(2)=\ln x-\ln 2=\ln\frac{x}{2}=f(\frac{x}{2})$ Due to the One-to-One Property: $\ln a=\ln b$ if and only if $a=b$ So: $f(x-2)\ne f(\frac{x}{2})=f(x)-f(2)$