Question

Choose the expression that represents the indicated composition. f(x) = 10x g(x) = x −3 (f º g)(x) = ? 10x – 30 10x – 3 10x2 – 30 10x2 – 30x

Answer 1

(fºg)(x)=f(g(x))=f(x-3)=10(x-3)=10x-30

Answer 2

Option 1 -
`(fog)(x)=10x-30`

Explanation:

Given :
`f(x)=10x` and
`g(x)=x-3`

To find : Choose the expression that represents the indicated composition
`(fog)(x)`

Solution :

We know that,

`(fog)(x)=f(g(x))`

i.e.
`(fog)(x)=f(x-3)`

`(fog)(x)=10(x-3)`

`(fog)(x)=10x-30`

Therefore, Option 1 is correct.