Question

Let X=Y = R and Z = set of all integers. Let f:Y-Z defined by fix) = [x], and

g:X-Y be defined by g(x) = (5x-3)/2

Find:

1. f(-5/2)

2. f(n)

3. g(1)

4. fo g (x)

Answer 1

1.

$f(-5/2)=2$

2.

$f(n)=n$

3.

$g(1)=(5-3)/2=1$

4.

$f\circ g(x)=[(5x-3)/2]$