Calculus Examples

$f (\frac{1}{2}) = \sqrt{2 t + 8}$

Step 1

Replace the variable $t$ with $\frac{1}{2}$ in the expression.

$f (\frac{1}{2}) = \sqrt{2 (\frac{1}{2}) + 8}$

Step 2

Simplify the result.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Cancel the common factor.

$f (\frac{1}{2}) = \sqrt{2 (\frac{1}{2}) + 8}$

Step 2.1.2

Rewrite the expression.

$f (\frac{1}{2}) = \sqrt{1 + 8}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $1$ and $8$ .

$f (\frac{1}{2}) = \sqrt{9}$

Step 2.2.2

Rewrite $9$ as $3^{2}$ .

$f (\frac{1}{2}) = \sqrt{3^{2}}$

Step 2.3

Pull terms out from under the radical, assuming positive real numbers.

$f (\frac{1}{2}) = 3$

Step 2.4

The final answer is $3$ .

$3$

Step 3