Question

Given: f(x) = 1/x (<- that’s division sign btw)

g(x) = x-4

can you evaluate (g°f)(0) ?Explain why or why not.

Answer 1

To evaluate
`(g \circ f)(0)`, you'd start by rewriting this as
`(g \circ f)(0) = g\big(f(0)\big)` and your first step of evaluation is to evaluate
`f(0)`.

When you evaluate
`f(0)`, you have the following:

`f(0) = (1)/(0)`

and this is undefined. Since you cannot perform the first step of the evaluation, you cannot evaluate
`(g\circ f)(0)`.