Questions: Use the following function rule to find (f(0)). (f(x)=4^x+1) (f(0)=)

Transcript text: Use the following function rule to find $f(0)$. \[ f(x)=4^{x}+1 \] $f(0)=$ Submit

Solution

Solution Steps

To find $ f(0) $ using the given function rule $ f(x) = 4^x + 1 $, substitute $ x = 0 $ into the function. This will allow us to calculate the value of the function at $ x = 0 $.

Step 1: Substitute $ x = 0 $ into the function

We start with the function defined as $ f(x) = 4^x + 1 $. To find $ f(0) $, we substitute $ x = 0 $: \[ f(0) = 4^0 + 1 \]

Step 2: Calculate $ 4^0 $

Using the property of exponents, we know that $ 4^0 = 1 $. Therefore, we can simplify the expression: \[ f(0) = 1 + 1 \]

Step 3: Final Calculation

Now, we perform the final addition: \[ f(0) = 2 \]

Final Answer

The value of $ f(0) $ is $ \boxed{2} $.

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