Question

Show your work to evaluate g(f(x)) if f(x)=x+2/2 and g(x)=1x−1

Answer 1

x/2

Explanation:

g(f(x)) = (x+2/2) - 1

=
`(x+2)/(2)` -
`(2)/(2)`

= (x + 2 - 2) / 2

= x/2

Answer 2

x/2.

Explanation:

We replace the x in g(x) by f(x):

g(f(x)) = 1((x + 2/2) - 1

= (x + 2)/2 - 1

= (x + 2 - 2)/2

= x/2.