Question

If f(x)=x^2 and g(x)=x/2, what is the difference between g(f(6)) and f(g(6))?

Answer 1

9

Explanation:

We have the following two functions

`f(x) = x^2`

`g(x) = (x)/(2)`

To find
`f\left(g(6)\right)` , first find
`g(6)` and substitute that value in
`f(x)`

`g(6) = 6/2 =3`

`f(\left(g(6)\right) = f(3) = 3^2 = 9`

To find
`g(f(6))` first find
`f\left(6\right)` and substitute that value into
`g(x)`

`f(6) = 6^2 = 36\\\\g\left(f(6)\right) = g(36) = 36/2 = 18\\`

The difference between the two is 18-9 = 9