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

Answer:

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

Step-by-step 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.

Answer 2

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