Linear Algebra Examples

$c = \frac{5}{9} \cdot (f - 32)$

Step 1

Simplify $\frac{5}{9} \cdot (f - 32)$ .

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Step 1.1

Apply the distributive property.

$c = \frac{5}{9} f + \frac{5}{9} \cdot - 32$

Step 1.2

Combine $\frac{5}{9}$ and $f$ .

$c = \frac{5 f}{9} + \frac{5}{9} \cdot - 32$

Step 1.3

Multiply $\frac{5}{9} \cdot - 32$ .

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Step 1.3.1

Combine $\frac{5}{9}$ and $- 32$ .

$c = \frac{5 f}{9} + \frac{5 \cdot - 32}{9}$

Step 1.3.2

Multiply $5$ by $- 32$ .

$c = \frac{5 f}{9} + \frac{- 160}{9}$

Step 1.4

Move the negative in front of the fraction.

$c = \frac{5 f}{9} - \frac{160}{9}$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 3