Review the graph of function g(x). On a coordinate plane, y = g (x) has a straight line connecting point (negative 5, 4) and (ne
gative 2, 1), a curved line connected (negative 2, 1) and (0, negative 1), and a straight line connecting (0, negative 1) and (4, negative 2). Determine the value of g–1(4).
2 answers:
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 will be,
(4, -5), (1, -2), (-1, 0), (-2, 4)
Therefore, value of the inverse function at x = 4 will be,
y = = -5
Option (1) will be the correct option.
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