Calculus Examples

$f (x) = 3 x$ , $g (x) = 4 x^{2}$ , $(f - g) (x)$

Step 1

Evaluate $f - g$ .

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Step 1.1

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

$(3 x) - (4 x^{2})$

Step 1.2

Multiply $4$ by $- 1$ .

$3 x - 4 x^{2}$

Step 1.3

Reorder $3 x$ and $- 4 x^{2}$ .

$- 4 x^{2} + 3 x$

Step 2

Evaluate $f - g$ at $x$ .

$- 4 {(x)}^{2} + 3 (x)$

Step 3

Simplify $- 4 {(x)}^{2} + 3 (x)$ .

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Step 3.1

Remove parentheses.

$- 4 {(x)}^{2} + 3 (x)$

Step 3.2

Multiply $3$ by $x$ .

$- 4 x^{2} + 3 x$