Use the function rule f(x) = 11^x + 5 to find f(0).
Check the final answer first, then review the worked steps.
Problem
Use the function rule f(x) = 11^x + 5 to find f(0).
Answer
6
Step-by-step solution
- Understand the problem: The problem asks us to evaluate a given function, $f(x) = 11^x + 5$, at a specific value, $x=0$. This means we need to substitute $0$ for $x$ in the function's expression.
- Substitute the value of x: Replace every instance of $x$ in the function rule with $0$. So, $f(0) = 11^0 + 5$.
- Evaluate the exponent: Any non-zero number raised to the power of $0$ is equal to $1$. Therefore, $11^0 = 1$.
- Perform the addition: Now, substitute the result from the previous step back into the equation: $f(0) = 1 + 5$.
- Calculate the final result: Add $1$ and $5$ to get the final value: $f(0) = 6$.