Finding the range of the rational function f(x) = (2x - 1)/(x + 2) for x in [−1,2]

frobirrimupyx

frobirrimupyx

Answered question

2022-09-10

Finding the range of the rational function f ( x ) = 2 x 1 x + 2 for x [ 1 , 2 ]

Answer & Explanation

Adolfo Lee

Adolfo Lee

Beginner2022-09-11Added 17 answers

2 x 1 x + 2 = 2 x + 4 5 x + 2 = 2 5 x + 2 .
Thus, since 1 x 2, we obtain:
2 5 1 + 2 2 5 x + 2 2 5 2 + 2
or
3 2 x 1 x + 2 3 4

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