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Let D be the domain of the real valued function f defined by f

Question

Let $D$ be the domain of the real valued function $f$ defined by $f (x) = 25 - x^{2}$ . Then, write $D$ .

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James Discussed

Let

D

be the domain of the real valued function

f

defined by

f (x) = 25 - x^{2}

. Then, write

D

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Given

f (x) = 25 - x^{2}

Since

f (x)

is real valued, we nust have

25 - x^{2} \geq 0

\Rightarrow x^{2} \leq 25

\Rightarrow - 5 \leq x \leq 5

∴

The domain

D = [- 5, 5]

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Question Text	Let $D$ be the domain of the real valued function $f$ defined by $f (x) = 25 - x^{2}$ . Then, write $D$ .
Answer Type	Text solution:1
Upvotes	150