Calculus Examples

$f (x) = {(x - 16)}^{2} + 1$ , $x = 16$

Step 1

Replace the variable $x$ with $16$ in the expression.

$f (16) = {((16) - 16)}^{2} + 1$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Subtract $16$ from $16$ .

$f (16) = 0^{2} + 1$

Step 2.1.2

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

$f (16) = 0 + 1$

Step 2.2

Add $0$ and $1$ .

$f (16) = 1$

Step 2.3

The final answer is $1$ .

$1$

Step 3