Algebra Examples

$g (x) = 8 - x$ , $g (x) = 8 - x$

Step 1

Set up the composite result function.

$g (g (g (g (x))))$

Step 2

Evaluate $g (8 - x)$ by substituting in the value of $g$ into $g$ .

$g (8 - x) = 8 - (8 - x)$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Apply the distributive property.

$g (8 - x) = 8 - 1 \cdot 8 + x$

Step 3.2

Multiply $- 1$ by $8$ .

$g (8 - x) = 8 - 8 + x$

Step 3.3

Multiply $- - x$ .

Tap for more steps...

Step 3.3.1

Multiply $- 1$ by $- 1$ .

$g (8 - x) = 8 - 8 + 1 x$

Step 3.3.2

Multiply $x$ by $1$ .

$g (8 - x) = 8 - 8 + x$

Step 4

Simplify by subtracting numbers.

Tap for more steps...

Step 4.1

Subtract $8$ from $8$ .

$g (8 - x) = 0 + x$

Step 4.2

Add $0$ and $x$ .

$g (8 - x) = x$