Question

(fog)(x). F(x)=3x, g(x)=x+7

Answer 1

For this case we have the following functions:

`f (x) = 3x\\g (x) = x + 7`

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

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

So:

`f (g (x)) = 3 (x + 7) = 3x + 3 * 7 = 3x + 21`

Finally, the composite function is:

`(f_ {0} g) (x) = 3x + 21`

Answer:

`(f_ {0} g) (x) = 3x + 21`