Use the following function rule to find f(100). f(x) = 10sqrt x f(100) = _____

Identify Function and Input: Identify the function and the input value. We are given the function f(x) = 10√x and we need to find the value of f(100).Substitute Input into Function: Substitute the input value into the function. To find f(100), we substitute 100 for x in the function f(x). f(100) = 10√100Calculate Square Root: Calculate the square root of the input value. The square root of 100 is 10, since 10 * 10 = 100. √100 = 10Multiply by Coefficient: Multiply the square root by the coefficient in the function. Now we multiply the square root we found by the coefficient 10 in the function f(x). f(100) = 10 * 10Simplify to Find Answer: Simplify the expression to find the final answer. f(100) = 10 * 10 = 100

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Use the following function rule to find $f(100)$ . $\newline$ $f(x) = 10\sqrt{x}$ $\newline$ $f(100) =$ _____

View step-by-step help

Full solution

Q. Use the following function rule to find

f(100)

\newline

f(x) = 10\sqrt{x}

\newline

f(100) =

_____

Identify Function and Input: Identify the function and the input value. $\newline$ We are given the function $f(x) = 10\sqrt{x}$ and we need to find the value of $f(100)$ .
Substitute Input into Function: Substitute the input value into the function. $\newline$ To find $f(100)$ , we substitute $100$ for $x$ in the function $f(x)$ . $\newline$ $f(100) = 10\sqrt{100}$
Calculate Square Root: Calculate the square root of the input value. $\newline$ The square root of $100$ is $10$ , since $10 \times 10 = 100$ . $\newline$ $\sqrt{100} = 10$
Multiply by Coefficient: Multiply the square root by the coefficient in the function. $\newline$ Now we multiply the square root we found by the coefficient $10$ in the function $f(x)$ . $\newline$ $f(100) = 10 \times 10$
Simplify to Find Answer: Simplify the expression to find the final answer. $f(100) = 10 \times 10 = 100$