If f (x) = StartRoot 4 x + 9 EndRoot + 2, which inequality can be used to find the domain of f(x)? StartRoot 4 x EndRoot greater-than-or-equal-to 0 4 x + 9 greater-than-or-equal-to 0 4 x greater-than-or-equal-to 0 StartRoot 4 x + 9 EndRoot + 2 greater-than-or-equal-to 0

Step-by-step explanation:

"f (x) = StartRoot 4 x + 9 EndRoot + 2" should be written as

 "f(x) = sqrt(4x + 9) + 2.

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 or greater:"

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.

true

step-by-step explanation: