Finite Math Examples

$f (x) = 2 x - 5$ , $g (x) = 2 - x$ , $(f + g) (x)$

Step 1

Evaluate $f + g$ .

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Step 1.1

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

$2 x - 5 + 2 - x$

Step 1.2

Remove parentheses.

$2 x - 5 + 2 - x$

Step 1.3

Subtract $x$ from $2 x$ .

$x - 5 + 2$

Step 1.4

Add $- 5$ and $2$ .

$x - 3$

Step 2

Evaluate $f + g$ at $x$ .

$(x) - 3$

Step 3

Simplify $(x) - 3$ .

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Step 3.1

Remove parentheses.

$(x) - 3$

Step 3.2

Remove parentheses.

$x - 3$