Finite Math Examples

$f (x) = 5 x + 4$ , $g (x) = x - 3$ , $f (f (8))$

Step 1

Set up the composite result function.

$f (f (x))$

Step 2

Evaluate $f (5 x + 4)$ by substituting in the value of $f$ into $f$ .

$f (5 x + 4) = 5 (5 x + 4) + 4$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$f (5 x + 4) = 5 (5 x) + 5 \cdot 4 + 4$

Step 3.2

Multiply $5$ by $5$ .

$f (5 x + 4) = 25 x + 5 \cdot 4 + 4$

Step 3.3

Multiply $5$ by $4$ .

$f (5 x + 4) = 25 x + 20 + 4$

Step 4

Add $20$ and $4$ .

$f (5 x + 4) = 25 x + 24$

Step 5

Evaluate the result function by replacing $x$ with $8$ in the function.

$25 (8) + 24$

Step 6

Simplify the evaluated function.

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Step 6.1

Multiply $25$ by $8$ .

$200 + 24$

Step 6.2

Add $200$ and $24$ .

$224$