Functions 2 Question 8
9. Let $g(x)=1+x-[x]$ and $f(x)=0, \quad x=0$, then for all $1, \quad x>0$
$x, f[g(x)]$ is equal to
(a) $x$
(b) 1
(c) $f(x)$
(d) $g(x)$
(2001, 1M)
Show Answer
Answer:
Correct Answer: 9. (b)
Solution:
- $g(x)=1+x-[x]$ is greater than 1
since $x-[x]>0$
$f[g(x)]=1$, since $f(x)=1$ for all $x>0$