Answer:
Step-by-step explanation:
"f (x) = StartRoot 4 x + 9 EndRoot + 2" should be written as
Note that √(4x + 9) is a variation of the basic function y = √x, whose domain is [0, ∞ ).
The domain of f(x) = √(4x + 9) + 2 is found by taking the "argument" 4x + 9 of √(4x + 9) and setting it equal to zero:
4x + 9 ≥ 0, or
4x ≥ -9, or
x ≥ -9/4
This is the domain of the given function f(x) = √(4x + 9) + 2. So long as x is ≥ -9/4, the function f(x) will be defined.
