Als
f : x → x + 1 en
g : x → x ²
dan beeldt
(f
o
g − g
o
f)
x af in ?
A. − 1
B. 1
C. 0
D. 2x + 1
E. − 2x
[ 3-8382 - op net sinds 17.6.2020-(E)-24.10.2023 ]
Translation in E N G L I S H
IN CONS
IN CONSTR
IN CONSTRUC
IN CONSTRUCTI
IN CONSTRUCTION
A.
B.
C.
D.
E.
Oplossing - Solution
(f
o
g)(x) = f(g(x)) = f(x²) = x² + 1
(g
o
f)(x) = g(f(x)) = g(x+1) = (x + 1)² = x² + 2x + 1
(f
o
g)(x) − (g
o
f)(x) = x² + 1 − (x² + 2x + 1) = − 2x
