(i) 5 – 4 sin 3x find domain and range
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(i) 5 – 4 sin 3x find domain and range
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Given function is
Domain :-
Domain of a function is defined as set of all those real numbers for which f(x) is defined.
So,
Range :-
The range of a real function is the set of all those real number values taken f(x) at points in its domain.
We know,
On multiply by - 4, we get
On adding 5 in each term, we get
Additional Information :-
Question :-
Find the range of the function
Solution :-
We know that,
On multiply by 2, on both sides, we get
On Adding 3 in each term, we get
Hence,
Range of
Verified answer
-1< sin 3 x<1
-4<4 sin 3x<4
4>-4 sin 3x>-4
5+4>5-4 sin 3x>5-4
9>5-4sin 3x>1
1,9