Use the following function rule to find f(5). f(x) = 2^x - 12

Check the final answer first, then review the worked steps.

Problem

Use the following function rule to find f(5). f(x) = 2^x - 12

Answer

20

Step-by-step solution

1. Identify the function rule: The given function rule is $f(x) = 2^x - 12$.
2. Determine the value to substitute: We need to find $f(5)$, which means we need to substitute $x=5$ into the function.
3. Substitute the value of x: Replace every instance of $x$ in the function rule with $5$.
$f(5) = 2^5 - 12$
4. Calculate the exponent: Evaluate $2^5$.
$2^5 = 2 imes 2 imes 2 imes 2 imes 2 = 32$
5. Perform the subtraction: Subtract $12$ from the result of the exponent calculation.
$f(5) = 32 - 12$
$f(5) = 20$