Question

Find the range of f(x) = 1/(5sinx - 6) .​

Answer 1

Answer:

Range of f(x) = 1/(5sinx - 6) is [-1, -1/11].

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Answer 2

Explanation:

Sinx lies between - 1 and 1.

If sinx = - 1

Then, 5sinx - 6=-11

And f(x) = - 1/11 ___________1

If sinx =1

Then, 5sinx-6=-1

And f(x) = - 1/1 = - 1 ____________2

From 1 and 2 equation, we get

Range of f(x) belong [ - 1/11, - 1].