Algebra Examples

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

Step 1

Replace the variable $x$ with $4$ in the expression.

$f (4) = 2 {(4)}^{2} + 4 - 3$

Step 2

Simplify the result.

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Step 2.1

Remove parentheses.

$f (4) = 2 {(4)}^{2} + 4 - 3$

Step 2.2

Simplify each term.

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Step 2.2.1

Raise $4$ to the power of $2$ .

$f (4) = 2 \cdot 16 + 4 - 3$

Step 2.2.2

Multiply $2$ by $16$ .

$f (4) = 32 + 4 - 3$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Add $32$ and $4$ .

$f (4) = 36 - 3$

Step 2.3.2

Subtract $3$ from $36$ .

$f (4) = 33$

Step 2.4

The final answer is $33$ .

$33$

Step 3