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This set of points is on the graph of a function.{(−3,9),(−1,1),(0,0),(2,4)}Which points are on the graph of the inverse?Select each correct answer.(−9,3)(0,0)(4,2)(1,−1)

Sagot :

The points on the graph of the function are given to be

[tex]\mleft\lbrace(-3,9),(-1,1),(0,0),(2,4)\mright\rbrace[/tex]

A function is mapped as

[tex]f\colon x\rightarrow y[/tex]

The points of the function are in the form (x, y)

Therefore, by definition, the inverse of the function will be mapped as

[tex]f^{\prime}\colon y\rightarrow x[/tex]

The points of the inverse will be in the form (y, x)

Hence, from the given points the inverse will be

[tex]\mleft\lbrace(9,-3),(1,-1),(0,0),(4,2)\mright\rbrace[/tex]

Therefore from the options, the correct answers are

[tex]\lbrace(1,-1),(0,0),(4,2)\rbrace[/tex]

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