Algebra Examples

$f (x) = (9 x + 2)$ , $g (x) = - 9 x^{2} - 2 x + 1$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (- 9 x^{2} - 2 x + 1)$ by substituting in the value of $g$ into $f$ .

$f (- 9 x^{2} - 2 x + 1) = 9 (- 9 x^{2} - 2 x + 1) + 2$

Step 3

Remove parentheses.

$f (- 9 x^{2} - 2 x + 1) = 9 (- 9 x^{2} - 2 x + 1) + 2$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Apply the distributive property.

$f (- 9 x^{2} - 2 x + 1) = 9 (- 9 x^{2}) + 9 (- 2 x) + 9 \cdot 1 + 2$

Step 4.2

Simplify.

Tap for more steps...

Step 4.2.1

Multiply $- 9$ by $9$ .

$f (- 9 x^{2} - 2 x + 1) = - 81 x^{2} + 9 (- 2 x) + 9 \cdot 1 + 2$

Step 4.2.2

Multiply $- 2$ by $9$ .

$f (- 9 x^{2} - 2 x + 1) = - 81 x^{2} - 18 x + 9 \cdot 1 + 2$

Step 4.2.3

Multiply $9$ by $1$ .

$f (- 9 x^{2} - 2 x + 1) = - 81 x^{2} - 18 x + 9 + 2$

Step 5

Add $9$ and $2$ .

$f (- 9 x^{2} - 2 x + 1) = - 81 x^{2} - 18 x + 11$