Use the following function rule to find f(0) f(x)=8(5)^x+9 f(0)= square

To find \( f(0) \) using the given function rule \( f(x) = 8 \cdot 5^x + 9 \), we need to substitute \( x = 0 \) into the function.<br /><br />Here are the steps:<br /><br />1. Substitute \( x = 0 \) into the function:<br /> \[<br /> f(0) = 8 \cdot 5^0 + 9<br /> \]<br /><br />2. Calculate \( 5^0 \):<br /> \[<br /> 5^0 = 1<br /> \]<br /><br />3. Multiply by 8:<br /> \[<br /> 8 \cdot 1 = 8<br /> \]<br /><br />4. Add 9:<br /> \[<br /> 8 + 9 = 17<br /> \]<br /><br />Therefore, \( f(0) = 17 \).<br /><br />So, \( f(0) = \boxed{17} \).