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Find the domains of definition of the following functions. y

Question

Find the domains of definition of the following functions.
$y = sin x + 16 - x^{2} .$

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Jack Discussed

Find the domains of definition of the following functions.

y = sin x + 16 - x^{2} .

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Text solutionVerified

Domain of

y = sin x + 16 - x^{2}

sin x

and

16 - x^{2}

is under root it should be greater than zero.

Thus

sin x > 0

and

16 - x^{2} > 0

sin x

is greater than

0

when

x ϵ [0, π]

and

x^{2} < 16

thus

x ϵ [0, π]

and

x < 4

Thus the domain of

y

x ϵ [0, 1]

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Question Text	Find the domains of definition of the following functions. $y = sin x + 16 - x^{2} .$
Answer Type	Text solution:1
Upvotes	150