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