Answer:
Option (1)
Step-by-step explanation:
From the graph attached,
Points connecting the graph 'g' are (-5, 4), (-2, 1), (0, -1), (4, -2).
Since, rule to get the points lying on the graph of the inverse of the given function is,
(x, y) → (y, x)
If (x, y) is a point on function 'g' then (y, x) will lie on the inverse of the given function.
By the given rule, points on [tex]g^{-1}(x)[/tex] will be,
(4, -5), (1, -2), (-1, 0), (-2, 4)
Therefore, value of the inverse function at x = 4 will be,
y = [tex]g^{-1}(4)[/tex] = -5
Option (1) will be the correct option.
