Questions: What is the domain of g^-1(x)? State in interval notation. dom(g^-1(x))= What is the range of g^-1(x)? State in interval notation. ran(g^-1(x))=

Solution Steps

The domain of $g(x)$ is the set of all possible input values (x-values) for which the function is defined. From the graph, $g(x)$ is defined for $x$ in the interval $[-4, 2]$.

The range of $g(x)$ is the set of all possible output values (y-values) that $g(x)$ can take. From the graph, $g(x)$ takes values from $[-5, 3]$.

For the inverse function $g^{-1}(x)$:

• The domain of $g^{-1}(x)$ is the range of $g(x)$, which is $[-5, 3]$.
• The range of $g^{-1}(x)$ is the domain of $g(x)$, which is $[-4, 2]$.

Final Answer