Calculus Examples

$f (x) = 12 x - x^{2} - x^{3}$ , $g (x) = 0$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (0)$ by substituting in the value of $g$ into $f$ .

$f (0) = 12 (0) - {(0)}^{2} - {(0)}^{3}$

Step 3

Simplify each term.

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Step 3.1

Multiply $12$ by $0$ .

$f (0) = 0 - {(0)}^{2} - {(0)}^{3}$

Step 3.2

Raising $0$ to any positive power yields $0$ .

$f (0) = 0 - 0 - {(0)}^{3}$

Step 3.3

Multiply $- 1$ by $0$ .

$f (0) = 0 + 0 - {(0)}^{3}$

Step 3.4

Raising $0$ to any positive power yields $0$ .

$f (0) = 0 + 0 - 0$

Step 3.5

Multiply $- 1$ by $0$ .

$f (0) = 0 + 0 + 0$

Step 4

Simplify by adding numbers.

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Step 4.1

Add $0$ and $0$ .

$f (0) = 0 + 0$

Step 4.2

Add $0$ and $0$ .

$f (0) = 0$