Answer:
The answer is the option B \(-32\)
Step-by-step explanation:
we have
\(f(x)=4x+7\)
\(g(x)=3x-5\)
we know that
\((gof)(x)=g(f(x))\)
substitute
\(g(f(x))=3(4x+7)-5\)
\(g(f(x))=12x+21-5\)
\(g(f(x))=12x+16\)
Find \(g(f(-4))\)
Substitute the value of \(x=-4\) in the equation
\(g(f(-4))=12(-4)+16\)
\(g(f(-4))=-32\)
