Pre-Algebra Examples

$f (x) = 4 x^{2} + 7 x - 5$ , $g (x) = - 8 x^{2} + 4 x - 13$

Step 1

Find the sum of the functions.

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Step 1.1

Replace the function designators with the actual functions in $f (x) + g (x)$ .

$4 x^{2} + 7 x - 5 - 8 x^{2} + 4 x - 13$

Step 1.2

Simplify.

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Step 1.2.1

Subtract $8 x^{2}$ from $4 x^{2}$ .

$- 4 x^{2} + 7 x - 5 + 4 x - 13$

Step 1.2.2

Add $7 x$ and $4 x$ .

$- 4 x^{2} + 11 x - 5 - 13$

Step 1.2.3

Subtract $13$ from $- 5$ .

$- 4 x^{2} + 11 x - 18$

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