find the domain of f for f (x)= the square root of 2x+7

Set up the equation to solve for xx.2x+7≥02x+7≥0Since 77 does not contain the variable to solve for, move it to the right side of the inequality by subtracting 77 from both sides.2x≥−72x≥-7Divide each term by 2 and simplify.
Divide each term in 2x≥−72x≥-7 by 22.2x2≥−722x2≥-72Reduce the expression by cancelling the common factors.Tap for fewer steps...Cancel the common factor.2x2≥−722x2≥-72Divide xx by 11 to get xx.x≥−72x≥−72x≥-72Find the set of inequalities that expresses where xx is defined.2x+7≥02x+7≥0The domain is all values of xx that make the expression defined.[−72,∞)[-72,∞){x∣∣∣x≥−72}