Precalculus Examples

$f (t) = 2 t - 5$ Find $f (f (\frac{n}{4}))$

Step 1

Set up the composite result function.

$f (f (t))$

Step 2

Evaluate $f (2 t - 5)$ by substituting in the value of $f$ into $f$ .

$f (2 t - 5) = 2 (2 t - 5) - 5$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$f (2 t - 5) = 2 (2 t) + 2 \cdot - 5 - 5$

Step 3.2

Multiply $2$ by $2$ .

$f (2 t - 5) = 4 t + 2 \cdot - 5 - 5$

Step 3.3

Multiply $2$ by $- 5$ .

$f (2 t - 5) = 4 t - 10 - 5$

Step 4

Subtract $5$ from $- 10$ .

$f (2 t - 5) = 4 t - 15$