Find the Domain of the Sum of the Functions f(x)=8x+1 , g(x) = square root of x

$f (x) = 8 x + 1$ , $g (x) = \sqrt{x}$

Step 1

Replace the function designators with the actual functions in $f (x) + g (x)$ .

$8 x + 1 + \sqrt{x}$

Step 2

Set the radicand in $\sqrt{x}$ greater than or equal to $0$ to find where the expression is defined.

$x \geq 0$

Step 3

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$[0, \infty)$

Set-Builder Notation:

${x | x \geq 0}$

Step 4