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If f(x) = sqrt (4x+9) +2 which inequality can be used to find the domain of f(x)

If f(x) = sqrt (4x+9) +2 which inequality can be used to find the domain of f(x)-example-1
User Rockeye
by
4.8k points

2 Answers

4 votes

For this case we have the following function:


f (x) = \sqrt {4x + 9} +2

By definition, the domain of a function is given by all the values for which the function is defined.

For the given function to be defined, then the root argument must be positive, that is:


4x + 9 \geq0

Answer:

Option B

User Patel
by
5.3k points
3 votes

Answer:

Explanation:

the domain of x represents the values that x can be without the function being undefined. the function of square rooting is undefined for negative numbers. so in order to find the domain, you must ensure that the "stuff" in the square root is greater than, or equal, to zero. hence, (4x+9)>= 0. the answer is B

User Alexander Semenov
by
5.4k points
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