Examples

f (x) = x + 1

$f (x) = x + 1$ ,

g (x) = x^{2}

$g (x) = x^{2}$ ,

g (f (x))

$g (f (x))$

Step 1

Set up the composite result function.

g (f (x))

$g (f (x))$

Step 2

Evaluate

g (x + 1)

$g (x + 1)$ by substituting in the value of

f

$f$ into

g

$g$ .

g (x + 1) = {(x + 1)}^{2}

$g (x + 1) = {(x + 1)}^{2}$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(- \infty, \infty)

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 4

Enter YOUR Problem