Question

Choose the expression that represents the indicated composition.

f(x) = 10x g(x) = x −3
(f º g)(x) = ?

Answer 1

I got this one wrong so obviously it will show me the correct one and it is =10x-30

Answer 2

(f º g)(x) = f(g(x)) = 10(x-3)

Explanation:

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

To Find : (f º g)(x) = ?

Solution :

(f º g)(x) = f(g(x))

So,
`g(x) = x-3` and
`f(x) = 10x`

Substitute x = x −3 in f(x)

So, (f º g)(x) = f(g(x)) = 10(x-3)

Hence (f º g)(x) = f(g(x)) = 10(x-3)