Find f(f(x)) f(x)=7x-2

$f (x) = 7 x - 2$

Step 1

Set up the composite result function.

$f (f (x))$

Step 2

Evaluate $f (7 x - 2)$ by substituting in the value of $f$ into $f$ .

$f (7 x - 2) = 7 (7 x - 2) - 2$

Step 3

Simplify each term.

Apply the distributive property.

$f (7 x - 2) = 7 (7 x) + 7 \cdot - 2 - 2$

Multiply $7$ by $7$ .

$f (7 x - 2) = 49 x + 7 \cdot - 2 - 2$

Multiply $7$ by $- 2$ .

$f (7 x - 2) = 49 x - 14 - 2$

Step 4

Subtract $2$ from $- 14$ .

$f (7 x - 2) = 49 x - 16$