Precalculus Examples

$f (x) = - 3 x^{3} + x^{2} - 3$ ; find $f (1)$

Step 1

Replace the variable $x$ with $1$ in the expression.

$f (1) = - 3 {(1)}^{3} + {(1)}^{2} - 3$

Step 2

Simplify $- 3 {(1)}^{3} + {(1)}^{2} - 3$ .

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Step 2.1

Remove parentheses.

$- 3 {(1)}^{3} + {(1)}^{2} - 3$

Step 2.2

Simplify each term.

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Step 2.2.1

One to any power is one.

$- 3 \cdot 1 + {(1)}^{2} - 3$

Step 2.2.2

Multiply $- 3$ by $1$ .

$- 3 + {(1)}^{2} - 3$

Step 2.2.3

One to any power is one.

$- 3 + 1 - 3$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Add $- 3$ and $1$ .

$- 2 - 3$

Step 2.3.2

Subtract $3$ from $- 2$ .

$- 5$