evaluate f (1/2) for the function F (x) ex +1

It seems like you're asking to evaluate the function \( F(x) = e^x + 1 \) at \( x = \frac{1}{2} \).

To do this, simply substitute \( x = \frac{1}{2} \) into the equation:

\[
F\left(\frac{1}{2}\right) = e^{\frac{1}{2}} + 1
\]

Now, \( e^{\frac{1}{2}} \) is approximately 1.64872. Therefore:

\[
F\left(\frac{1}{2}\right) = 1.64872 + 1 = 2.64872
\]

So, the value of \( F\left(\frac{1}{2}\right) \) is approximately **2.64872**.

Would you like further details on how this was calculated or have any other questions?

Here are 5 related questions:
1. How do you calculate \( e^x \) more precisely?
2. What is the derivative of \( F(x) = e^x + 1 \)?
3. How does the value of \( F(x) \) change for larger values of \( x \)?
4. What are the key properties of the exponential function \( e^x \)?
5. How would you solve an equation involving \( F(x) = e^x + 1 \)?

**Tip**: Remember that \( e^x \) is a transcendental number, meaning it cannot be expressed as a simple fraction or radical.

evaluate f (1/2) for the function F (x) = e^x + 1

Learn how to evaluate the exponential function F(x) = e^x + 1 at x = 1/2. This step-by-step solution covers key concepts in exponential functions and their applications. Suitable for high school students in Grades 10-12.

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