Question

Question 4 of 10Which inequality represents all values of x for which the quotient below isdefined?√8x² + √2xO A. X20B. X> 1C. X>0D. x>-1SUBMIT

Answer 1

- The solution steps are given below:

`\begin{gathered} (√(8x^2))/(√(2x)) \\ \\ =(√(8)*√(x^2))/(√(2)*√(x)) \\ \\ =(√(4*2)*√(x)*√(x))/(√(2)*√(x)) \\ \\ =(2√(2)*√(x)*√(x))/(√(2)*√(x)) \\ \\ \text{ Cancel out like terms in the numerator and denominator} \\ \\ =(2*√(x))/(1) \\ \\ =2√(x) \\ \\ \text{ Since all the values of the square root can be 0 or greater, the values of x are:} \\ x\ge0\text{ \lparen OPTION A\rparen} \end{gathered}`

Final Answer

The answer is OPTION A