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The graph of y=h(x)y=h(x)y, equals, h, left parenthesis, x, right parenthesis is a line segment joining the points (-7,-5)(−7,−5)left parenthesis, minus, 7, comma, minus, 5, right parenthesis and (-1,-2)(−1,−2)left parenthesis, minus, 1, comma, minus, 2, right parenthesis.
Drag the endpoints of the segment below to graph y=h^{-1}(x)y=h
−1
(x)y, equals, h, start superscript, minus, 1, end superscript, left parenthesis, x, right parenthesis.

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Answer:

(-5, -7) and (-2, -1)

Step-by-step explanation:

The graph of y = h(x) is a line segment joining the points (−7, −5) and (-1, -2).  (Blue line on the attached graph).

The graph of the inverse function is a reflection in the line y = x.

Therefore, the endpoints of the inverse function are:

  • (-5, -7) and (-2, -1)

The graph of the inverse function y = h⁻¹(x) is shown in green on the attached graph.

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