Question

find the range of 7sinx+5​

Answer 1

Given the function f(x)=9−7sinx.

Let y=f(x).

Now,

y=9−7sinx

or, sinx=

7

9−y

.

We've,

−1≤sinx≤1, ∀x∈R

or, −1≤

7

9−y

≤1

or, −7≤9−y≤7

or, −16≤−y≤−2

or, 2≤y≤16.

So range is [2,16] also (2,16) be a subset of the range of the function.

Answer 2

Answer:

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