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If f(x)=2(x)^2 + 5 square root (x-2), complete the following statement

The domain for f(x) is all real numbers _____ than or equal to 2.

User Chia
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2 Answers

4 votes

Answer:

The domain for f(x) is all real numbers greater than or equal to 2.

Explanation:

Given function:


f(x)=2x^2+5 √(x-2)

The domain of a function is the set of all possible input values (x-values).

As the square root of a negative number cannot be taken:


\implies x-2\geq 0

Therefore:


\implies x-2+2\geq 0+2


\implies x\geq 2

Therefore, the domain of the given function is greater than or equal to 2.

User Sertug
by
7.8k points
3 votes

Answer:

Greater.

Explanation:

The in the function , the square root term has to give a real number if is to be real. This can only happen if because if then will give a complex number and therefore will not be real.

Thus, the domain for f(x) is all real numbers greater than or equal to 2.

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