Answer:
Option 1 - [tex](fog)(x)=10x-30[/tex]
Step-by-step explanation:
Given : [tex]f(x)=10x[/tex] and [tex]g(x)=x-3[/tex]
To find : Choose the expression that represents the indicated composition [tex](fog)(x)[/tex]
Solution :
We know that,
[tex](fog)(x)=f(g(x))[/tex]
i.e. [tex](fog)(x)=f(x-3)[/tex]
[tex](fog)(x)=10(x-3)[/tex]
[tex](fog)(x)=10x-30[/tex]
Therefore, Option 1 is correct.
