Describe the domain and range of the graph of g(x)= 2 √x + 3.

Try this explanation:

1) Domain of the given function.

to define the domain of the function: sqrt(x)≥0, ⇒ x≥0.

It means, the domain is x∈[0;+∝).

2) Range of the given function.

Property of this function: when the 'x' is the minimum value, then the 'g(x)' has minimum value; when the 'x' is the maximum value, then the 'g(x)' has maximum value. Using this property and the domain defined above, minimum of g(x) is 3 (the expression has '+3'!), maximum is +∝.

It means, the range is g(x)∈[3;+∝).

answer: 40.95

step-by-step explanation:

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step-by-step explanation: