Finite Math Examples

Find the Domain g(x) = square root of 7-x
Step 1
Set the radicand in greater than or equal to to find where the expression is defined.
Step 2
Solve for .
Tap for more steps...
Step 2.1
Subtract from both sides of the inequality.
Step 2.2
Divide each term in by and simplify.
Tap for more steps...
Step 2.2.1
Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Step 2.2.2
Simplify the left side.
Tap for more steps...
Step 2.2.2.1
Dividing two negative values results in a positive value.
Step 2.2.2.2
Divide by .
Step 2.2.3
Simplify the right side.
Tap for more steps...
Step 2.2.3.1
Divide by .
Step 3
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Step 4