Answer:
A. 20
Step-by-step explanation:
We are given,
The function [tex]f(x)=x^2+x[/tex] and [tex]g(x)=x-3[/tex].
It is required to find [tex]f(g(7))[/tex].
Now, we have,
[tex]f(g(x))=f(x-3)\\\\f(g(x))=(x-3)^2+(x-3)[/tex]
So, we get,
[tex]f(g(7))=(7-3)^2+(7-3)\\\\f(g(7))=4^2+4\\\\f(g(7))=16+4\\\\f(g(7))=20[/tex]
Thus, the value of [tex]f(g(7))[/tex] is 20.
So, option A is correct.
