Answer:
We get [tex]\mathbf{f(g(x))=2x+1}[/tex]
Option A is correct answer.
Step-by-step explanation:
We are given:
[tex]f(x) = 2x + 7 \\g(x) = x - 3[/tex]
We need to find f(g(x))
f(g(x)) can be found by putting x in f(x) equal to g(x)
Now, finding f(g(x))
[tex]f(x)=2x+7\\Put\:x=x-3\\f(g(x))=2(x-3)+7\\f(g(x))=2x-6+7\\f(g(x))=2x+1[/tex]
So, we get [tex]\mathbf{f(g(x))=2x+1}[/tex]
Option A is correct answer.
