Find domain and range of 11-7 sin x

3 answers

domain is all reals

range of sinx is [-1,1]
range of 7sinx is thus [-7,7]
range of 11-7sinx is [4,18]
please help me to identifying domain and range
Domain = R (R represents set of all Real numbers)
For range,
-1 <= sinx <= 1
Multiplying by -7
7 >= -7sinx >= -7
Adding 11
11+7 >= 11 - 7sinx >= 11-7
18 >= 11-7sinx >= 4
Range = [4,18]
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