Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 14, 2023

Find $f(67.86)$ using the function $f(x)=0.62 \sqrt{53.14+x}$ . Write the answer as a decimal or whole number.

STEP 1

Assumptions1. The function rule is $f(x)=0.62 \sqrt{53.14+x}$ . We are asked to find the value of $f(67.86)$

STEP 2

To find $f(67.86)$ , we need to substitute $x$ with $67.86$ in the function rule.
$f(67.86)=0.62 \sqrt{53.14+67.86}$

STEP 3

First, we need to perform the addition inside the square root.
$f(67.86)=0.62 \sqrt{121}$

STEP 4

Next, we need to find the square root of121.
$f(67.86)=0.62 \times11$

STEP 5

Finally, we need to multiply0.62 by11 to find the value of $f(67.86)$ .
$f(67.86)=.82$ So, $f(67.86)=.82$ .

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