Question

Consider the function f(x)=sqrt(5x-5)+1. Which inequality is used to find the domain?

Answer 1

Answer with explanation:

The function whose we have to find the domain is,

   $f(x)=\sqrt{5 x-5} +1$

Domain of a function f(x), are those set of values of x,for which ,f(x) is defined.

Square root of a function is valid or defined for positive values.

$\sqrt{5 x-5}\geq 0\\\\ 5 x-5\geq 0\\\\5\times (x-1)\geq 0\\\\ x-1 \geq 0\\\\ x \geq 1$

Domain = x ∈[1,∞)

The inequality which has been used to find the domain must be:

 $\sqrt{5 x-5}\geq 0\\\\5 x-5\geq 0$

Answer 2

Answer: D on edg

Step-by-step explanation: