Finite Math Examples

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

Step 1

Replace the variable $x$ with $2$ in the expression.

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

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $2$ by ${(2)}^{2}$ by adding the exponents.

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Step 2.1.1.1

Multiply $2$ by ${(2)}^{2}$ .

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Step 2.1.1.1.1

Raise $2$ to the power of $1$ .

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

Step 2.1.1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 2.1.1.2

Add $1$ and $2$ .

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

Step 2.1.2

Raise $2$ to the power of $3$ .

$f (2) = 8 - 3 \cdot 2 - 1$

Step 2.1.3

Multiply $- 3$ by $2$ .

$f (2) = 8 - 6 - 1$

Step 2.2

Simplify by subtracting numbers.

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Step 2.2.1

Subtract $6$ from $8$ .

$f (2) = 2 - 1$

Step 2.2.2

Subtract $1$ from $2$ .

$f (2) = 1$

Step 2.3

The final answer is $1$ .

$1$

Step 3