Answered

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determine the domain of f(x)=√4x-3 in set builder notation

Sagot :

To determine the domain of this function, we have to remember that there are not real square roots for negative values, it means

[tex]4x-3\ge0[/tex]

Solve for x in the inequality

[tex]\begin{gathered} 4x-3\ge0 \\ 4x\ge3 \\ x\ge\frac{3}{4} \\ \end{gathered}[/tex]

x is more than or equal 3/4

In set builder notation it is written this way

[tex]D=\lbrace x\in R\text{ l }x\ge\frac{3}{4}\rbrace[/tex]

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