Algebra Examples

$f (x) = 2 x + 8$ $g (x) = x^{4} (g^{o} f) (- 3)$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x^{4} (g^{o} f) (- 3))$ by substituting in the value of $g$ into $f$ .

$f (x^{4} (g^{o} f) (- 3)) = 2 (x^{4} (g^{o} f) (- 3)) + 8$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Move $- 3$ to the left of $x^{4} g^{o} f$ .

$f (x^{4} (g^{o} f) (- 3)) = 2 (- 3 \cdot (x^{4} g^{o} f)) + 8$

Step 3.2

Multiply $- 3$ by $2$ .

$f (x^{4} (g^{o} f) (- 3)) = - 6 x^{4} g^{o} f + 8$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Reorder factors in $- 6 x^{4} g^{o} f + 8$ .

$f (x^{4} (g^{o} f) (- 3)) = - 6 x^{4} f g^{o} + 8$

Step 4.2

Move $x^{4}$ .

$f (x^{4} (g^{o} f) (- 3)) = - 6 f g^{o} x^{4} + 8$