Question

Which inequality represents all the values of x for which the quotient below is defined?

√8x^2 divided by √2x
a.x>(or equal to)0
b.x>1
c.x>-1
d.x>0

Answer 1

`\sqrt{(8x^(2))/(2x)} = \frac{\sqrt{8x^(2)}}{√(2x)} = \frac{\sqrt{4 * x^(2) * 2}}{√(2x)} = \frac{ √(4)\sqrt{x^(2)} √(2)}{√(2x)} = (2x√(2))/(√(2x)) = (2x)/(√(x)) = 2√(x)`

The answer is D, x > 0.

Answer 2

So that the ratio is defined:

* The denominator can not be zero
* Being an integer index pair, the filing must be greater or equal to zero.

It is concluded that:

x ≠ 0 ∧ 2x ≥ 0
x ≥0

.:. x > 0

R/ alternative d) x>0


Jeizon1L :)