Inequality can be used to find the domain of f(x) is (B) 4x+9 greater-than-or-equal-to 0.
What is inequality?
- The term inequality refers to a mathematical expression in which the sides are not equal.
- An inequality compares any two values and reveals that one is smaller, greater, or equal to the value on the opposite side of the equation.
To find the domain:
- “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.
Therefore, inequality can be used to find the domain of f(x) is (B) 4x+9 greater-than-or-equal-to 0.
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The correct question is given below:
If f (x) = start root 4 x 9 enroot 2, which inequality can be used to find the domain of f(x)?
(A) startroot 4 x endroot greater-than-or-equal-to 0
(B) 4x+9 greater-than-or-equal-to 0
(C) 4 x greater-than-or-equal-to 0
(D) startroot 4 x 9 endroot 2 greater-than-or-equal-to 0