class 12 maths relations and functions

Let $D$ be the domain of the real valued

function $f$ defined by $f(x) = \sqrt {25 - {x^2}}$. Then, write $D$.

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📘 Relations and Functions NCERT Exemp.Q.2,Page 11 SA

Let $D$ be the domain of the real valued

function $f$ defined by $f(x) = \sqrt {25 - {x^2}}$. Then, write $D$.

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

Given function is, $f(x) = \sqrt {25 - {x^2}}$

For real valued of $f(x)25 - {x^2} \ge 0$

${x^2} \le 25$

$- 5 \le x \le + 5$

$\therefore D = [ - 5,5]$

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