Question

If the function $f:N\to N$ is defined by $f\left(x\right)=\sqrt{x}$, then $\left[\frac{f\left(25\right)}{f\left(16\right)+f\left(1\right)}\right]$ is equal to:

• A. $\frac{5}{6}$
• B. $\frac{5}{7}$
• C. $\frac{5}{3}$
• D. $1$

Answer 1

The correct option is D

$1$

Explanation for the correct option

Given function, $f\left(x\right)=\sqrt{x}$

We need to evaluate $\left[\frac{f\left(25\right)}{f\left(16\right)+f\left(1\right)}\right]$

We can evaluate this by putting the required value of $x$ in $f\left(x\right)$

$$\begin{gathered} =\left[\frac{\sqrt{25}}{\sqrt{16}+\sqrt{1}}\right] \\ =\frac{5}{4+1} \\ =1 \end{gathered}$$

Hence, option (D) is the correct answer.