Search any question & find its solution
Question:
Answered & Verified by Expert
Let $\mathrm{D}$ be the domain of the real valued function $f$ defined by $f(x)=\sqrt{25-x^2}$. Then, write $D$.
Solution:
1882 Upvotes
Verified Answer
Given function is, $f(x)=\sqrt{25-x^2}$
For real value of $f(x) 25-x^2 \geq 0$
$$
\begin{aligned}
x^2 & \leq 25 \\
-5 & \leq x \leq+5 \\
D &=[-5,5]
\end{aligned}
$$
For real value of $f(x) 25-x^2 \geq 0$
$$
\begin{aligned}
x^2 & \leq 25 \\
-5 & \leq x \leq+5 \\
D &=[-5,5]
\end{aligned}
$$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.