Finite Math Examples

$c (x) = 110 + 6.1 x$ , $R (x) = 3 x - 0.04 x^{2}$

Step 1

Find the sum of the functions.

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Step 1.1

Replace the function designators with the actual functions in $c (x) + R (x)$ .

$110 + 6.1 x + 3 x - 0.04 x^{2}$

Step 1.2

Add $6.1 x$ and $3 x$ .

$110 + 9.1 x - 0.04 x^{2}$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 3