Question

The coordinate plane shows the locations of f(x) and g(x).Which of the following statements is true?

Answer 1

Notice that at x_0,

$\begin{gathered} f(x_0)=6 \\ \text{and} \\ g(x_0)=4 \\ x_0\in domain\text{ of f(x)} \end{gathered}$

Therefore,

$\begin{gathered} \Rightarrow g(x_0)=f(x_0)-2 \\ \Rightarrow g(x)=f(x)-2 \end{gathered}$

The answer is option C), g(x)=f(x)-2