Question

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

Answer 1

Answer:  $5x-5 \ge 0$

This is the same as $x-1 \ge 0$

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Explanation:

We have $f(x) = \sqrt{5x-5}+1$

The stuff under the square root (this stuff is called the radicand) is what we'll focus on (the +1 at the end does not affect the domain at all). We want this to be 0 or larger. This is to avoid applying the square root to negative values, which leads to complications.

So 5x-5 must be 0 or larger meaning we write $5x-5 \ge 0$

Optionally we can divide all three terms (5x, -5 and 0) by 5 to go from $5x-5 \ge 0$ to $x-1 \ge 0$

If you wanted to solve for x, you would get $x \ge 1$ to set up the domain. Meaning that x = 1 is the smallest x value you can plug into the function. The x value can be anything larger than 1 as well.

Answer 2

Answer:

1. 5x-5 greater than or equal to 0 , 2. greater than or equal to , 1

Step-by-step explanation:

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