Algebra Examples

$f (x) = - 4 x^{2} + x + 5$ at $x = 1$

Step 1

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

$f (1) = - 4 {(1)}^{2} + 1 + 5$

Step 2

Simplify the result.

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Step 2.1

Remove parentheses.

$f (1) = - 4 {(1)}^{2} + 1 + 5$

Step 2.2

Simplify each term.

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Step 2.2.1

One to any power is one.

$f (1) = - 4 \cdot 1 + 1 + 5$

Step 2.2.2

Multiply $- 4$ by $1$ .

$f (1) = - 4 + 1 + 5$

Step 2.3

Simplify by adding numbers.

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Step 2.3.1

Add $- 4$ and $1$ .

$f (1) = - 3 + 5$

Step 2.3.2

Add $- 3$ and $5$ .

$f (1) = 2$

Step 2.4

The final answer is $2$ .

$2$

Step 3