Algebra Examples

$f (x) = 8 x + 5$

Set up the composite result function.

$f (f (x))$

Evaluate $f (8 x + 5)$ by substituting in the value of $f$ into $f$ .

$f (8 x + 5) = 8 (8 x + 5) + 5$

Simplify each term.

Tap for more steps...

Apply the distributive property.

$f (8 x + 5) = 8 (8 x) + 8 \cdot 5 + 5$

Multiply $8$ by $8$ .

$f (8 x + 5) = 64 x + 8 \cdot 5 + 5$

Multiply $8$ by $5$ .

$f (8 x + 5) = 64 x + 40 + 5$

Add $40$ and $5$ .

$f (8 x + 5) = 64 x + 45$