Question

F(x) = 7/
g(x) = x-4
Can you evaluate (gof)(O)? Explain why or why
not.

Answer 1

For this case we have the following functions:

`f (x) = 7\\g (x) = x-4`

We must find
`(g_ {0} f) (x)`. By definition we have to:

`(g_ {0} f) (x) = g (f (x))`

So:

`(g_ {0} f) (x) = (7) -4 = 7-4 = 3`

Then, regardless of the value of "x",
`(g_ {0} f) (x) = 3.`

Answer:

For any value of "x",
`(g_ {0} f) (x) = 3`. Thus,
`(g_ {0} f) (0)` cannot be evaluated, the result will always be 3.