Question

Range of the function f(x)=9-7 sin x is​

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