Question

use the graphs of f and g to find (f + g)( - 1). (f + g)( - 1)=□

Explanation:

Step1: Recall function - sum definition

By the definition of the sum of two functions, \((f + g)(x)=f(x)+g(x)\). So, \((f + g)(-1)=f(-1)+g(-1)\).

Step2: Find \(f(-1)\) from the graph

Looking at the graph of \(y = f(x)\), when \(x=-1\), the \(y\) - value of the function \(f\) is \(4\). So, \(f(-1) = 4\).

Step3: Find \(g(-1)\) from the graph

Looking at the graph of \(y = g(x)\), when \(x=-1\), the \(y\) - value of the function \(g\) is \(0\). So, \(g(-1)=0\).

Step4: Calculate \((f + g)(-1)\)

Substitute \(f(-1) = 4\) and \(g(-1)=0\) into \((f + g)(-1)=f(-1)+g(-1)\). Then \((f + g)(-1)=4 + 0=4\).

Answer:

4