Question #N283
The function $f(x)$ is defined as $f(x) = \frac{1}{x^2 + 1}$. What is the value of $f(\frac{1}{2})$?
A. $\frac{1}{5}$
B. $\frac{2}{5}$
C. $\frac{4}{5}$
D. 2
Correct Answer is: C
To find the value of f(1/2), we substitute 1/2 for x in the function: \begin{align*} f(\frac{1}{2}) &= \frac{1}{(\frac{1}{2})^2 + 1} \\ &= \frac{1}{\frac{1}{4} + 1} \\ &= \frac{1}{\frac{5}{4}} \\ &= \frac{4}{5} \end{align*} Therefore, the value of f(1/2) is 4/5.