Answer:
x ≥0
Step-by-step 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