Question

evaluate: f(g(-2))
y = f(x)
y = g(x)

Explanation:

Step1: Find g(-2)

From the graph of \(y = g(x)\), when \(x=-2\), \(y = - 4\), so \(g(-2)=-4\).

Step2: Find f(g(-2))

Since \(g(-2)=-4\), we need to find \(f(-4)\). From the graph of \(y = f(x)\), when \(x = - 4\), \(y=-6\), so \(f(g(-2))=f(-4)=-6\).

Answer:

\(-6\)