Answered

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 :

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

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.

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