Question

Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2

Answer 1

`F(x) = f \circ g`

`f(x) = x + 2` and
`g(x) = x`

Explanation:

Given

`F(x) = x + 2`

Required

Express as

`F(x) = f \circ g(x)`

In functions:

`f \circ\ g(x) = f(g(x))`

So, we have:

`f(g(x)) = x + 2`

g(x) can be set to x and f(x) to x + 2

Hence:

`F(x) = f \circ g`

When:
`f(x) = x + 2` and
`g(x) = x`