Questions: Use the following function rule to find (f(10)). (f(x)=x^2+5 x) (f(10)=)

Use the following function rule to find (f(10)). (f(x)=x^2+5 x) (f(10)=)
Transcript text: Use the following function rule to find $f(10)$. \[ \begin{array}{l} f(x)=x^{2}+5 x \\ f(10)=\square \end{array} \]
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Solution

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Solution Steps

To find \( f(10) \) using the given function rule \( f(x) = x^2 + 5x \), substitute \( x = 10 \) into the function and compute the result.

Step 1: Define the Function

The function is defined as: \[ f(x) = x^2 + 5x \]

Step 2: Substitute \( x = 10 \)

To find \( f(10) \), substitute \( x \) with \( 10 \): \[ f(10) = 10^2 + 5 \cdot 10 \]

Step 3: Calculate the Result

Now, calculate the expression: \[ f(10) = 100 + 50 = 150 \]

Final Answer

\(\boxed{f(10) = 150}\)

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