Als voor de functie f
geldt dat  \(\boldsymbol{f(x) = \frac {2} {x\,-\,2} }\) ,
dan is   f (2x) gelijk aan
A.  \(\boldsymbol{\frac {1} {x\:-\:1} }\)
B.  \(\boldsymbol{\frac {4} {x\:-\:4} }\)
C.  \(\boldsymbol{\frac {4} {2x\:-\:4} }\)
D.  \(\boldsymbol{\frac {4} {x\:-\:2} }\)
E.  \(\small\text{geen van de vorige}\)
A    B    C    D    E

[ 4-8757 - op net sinds 8.1.2023-(E)-3.11.2023 ]

Translation in   E N G L I S H

If   \( \boldsymbol{ f(x) = \frac {2} {x\,-\,2} } \) ,
then   f (2x) equals
A.   \(\boldsymbol{\frac {1} {x\:-\:1} }\)
B.   \(\boldsymbol{\frac {4} {x\:-\:4} }\)
C.   \(\boldsymbol{\frac {4} {2x\:-\:4} }\)
D.   \(\boldsymbol{\frac {4} {x\:-\:2} }\)
E.   none of these

Oplossing - Solution

\(\boldsymbol{f(x) = \frac {2} {x\,-\,2} \Rightarrow \quad f(2x) = \frac{2}{2x\,-\,2} =\frac{1}{x\,-\,1} }\)
gricha