Precalculus Examples

$f (x) = x - 3$ ; calcula $\frac{f (- 6)}{f (6)}$

Step 1

Evaluate the numerator in $\frac{f (- 6)}{f (6)}$ .

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Step 1.1

Replace the variable $x$ with $- 6$ in the expression.

$f (- 6) = (- 6) - 3$

Step 1.2

Simplify $(- 6) - 3$ .

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Step 1.2.1

Remove parentheses.

$(- 6) - 3$

Step 1.2.2

Subtract $3$ from $- 6$ .

$- 9$

Step 2

Evaluate the denominator in $\frac{f (- 6)}{f (6)}$ .

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Step 2.1

Replace the variable $x$ with $6$ in the expression.

$f (6) = (6) - 3$

Step 2.2

Simplify $(6) - 3$ .

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Step 2.2.1

Remove parentheses.

$(6) - 3$

Step 2.2.2

Subtract $3$ from $6$ .

$3$

Step 3

Rewrite $\frac{f (- 6)}{f (6)}$ .

$\frac{- 9}{3}$

Step 4

Divide $- 9$ by $3$ .

$- 3$