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Given data:
[tex]f(x)=\sqrt[]{4x-5}[/tex]For the given function, the value of f(x) should be positive because it is in the root.
So, 1 is not in the domian because when we put 1 f(x) will become a complex number that is
[tex]\begin{gathered} f(x)=\sqrt[]{4\times1-5} \\ f(x)=\sqrt[]{-1} \end{gathered}[/tex]Thus, the correct option is (a)