To solve g(1) = ? we must do a vertical line at x = 1, it goes DOWN! because the graph is below the x-axis, if we do the line we will see that it will stop at y = -4, therefore, g(1) = -4
To find out the value of x for which g(x) = -1 we will start the process by doing a horizontal line at y = -1, if we do it we will see two possible values: -2 and 2, they're both correct! So you can choose which one you will put as your answer.