Question

2. Let f(x) = 14x-5. Which of the following values is NOT in the domain of f?a) 1b) 2c) 4d) 5

Answer 1

Given data:

`f(x)=\sqrt[]{4x-5}`

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

`\begin{gathered} f(x)=\sqrt[]{4*1-5} \\ f(x)=\sqrt[]{-1} \end{gathered}`

Thus, the correct option is (a)