Question

Which inequality represents all values for X for which the product below is defined?

Answer 1

x ≥0

Explanation:

Given the product:

√(5x)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(5x)*√(x+3)≥0

Find the product

√(5x)(x+3)≥0

Square both sides

(5x)(x+3)≥0

5x≥0 and x+3≥0

x≥0/5 and x ≥0 - 3

x ≥0 and x ≥-3

Hence the required inequality is x ≥0