Use the following function rule to find f(37). f(x) = 12sqrt (x + 12) f(37) = _____

Identify Function Rule: Identify the function rule and the input value. We are given the function rule f(x) = 12sqrt(x + 12) and we need to find the value of f(37).Substitute Input Value: Substitute the input value into the function rule. To find f(37), we substitute 37 for x in the function rule. f(37) = 12sqrt(37 + 12)Simplify Expression: Simplify the expression inside the square root. Calculate the value inside the square root before taking the square root. 37 + 12 = 49Take Square Root: Take the square root of the simplified expression. Since 49 is a perfect square, the square root of 49 is 7. sqrt(49) = 7Multiply by Coefficient: Multiply the square root by the coefficient. Now, multiply the square root by the coefficient 12 to find f(37). f(37) = 12 * 7Calculate Final Result: Calculate the final result. Multiply 12 by 7 to get the final answer. f(37) = 12 * 7 = 84

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Use the following function rule to find $f(37)$ . $\newline$ $f(x) = 12\sqrt{x + 12}$ $\newline$ $f(37) =$ _____

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Q. Use the following function rule to find

f(37)

\newline

f(x) = 12\sqrt{x + 12}

\newline

f(37) =

_____

Identify Function Rule: Identify the function rule and the input value. $\newline$ We are given the function rule $f(x) = 12\sqrt{x + 12}$ and we need to find the value of $f(37)$ .
Substitute Input Value: Substitute the input value into the function rule. $\newline$ To find $f(37)$ , we substitute $37$ for $x$ in the function rule. $\newline$ $f(37) = 12\sqrt{37 + 12}$
Simplify Expression: Simplify the expression inside the square root. Calculate the value inside the square root before taking the square root. $37 + 12 = 49$
Take Square Root: Take the square root of the simplified expression. $\newline$ Since $49$ is a perfect square, the square root of $49$ is $7$ . $\newline$ $\sqrt{49} = 7$
Multiply by Coefficient: Multiply the square root by the coefficient. $\newline$ Now, multiply the square root by the coefficient $12$ to find $f(37)$ . $\newline$ $f(37) = 12 \times 7$
Calculate Final Result: Calculate the final result. $\newline$ Multiply $12$ by $7$ to get the final answer. $\newline$ $f(37) = 12 \times 7 = 84$