Question

functions.

Answer 1

\(\large \color{black}{\begin{align} &\normalsize \text{which of the following two functions are identical ?}\hspace{.33em}\\~\\
&a.)\ f(x)=\dfrac{x^2}{x} \ \hspace{.33em}\\~\\
&b.)\ g(x)=(\sqrt{x})^2 \hspace{.33em}\\~\\
&c.)\ h(x)=x \hspace{.33em}\\~\\~\\~\\

&i.) \ \normalsize a.) \ \text{and }\ b.)\hspace{.33em}\\~\\
&ii.) \ \normalsize b.) \ \text{and }\ c.)\hspace{.33em}\\~\\
&iii.) \ \normalsize a.) \ \text{and }\ c.)\hspace{.33em}\\~\\
&iv.) \ \normalsize a.),\ b.) \ \text{and }\ c.)\hspace{.33em}\\~\\
&v.) \ \normalsize \text{none of these } \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

g is a line y=x for all x\(\ge\)0
f is a line y=x for all x, besides x=0
h is just a line y=x

Answer 3

I got ii b) and c)

Answer 4

none of them are absolutely the same thing, but the closest ones I would say are f and h

Answer 5

@Vocaloid for the first one, I think zero is not allowed the domain.

Answer 6

^right, I didn't see that before, thank you

Answer 7

so I would say that none of them are the same

Answer 8

you have almost got the absolute value in g,
Absolute value definition: |D| = sqrt (D^2)

Answer 9

None of them have the same domains!

Answer 10

but switching the order of ^2 and square root eliminates the left side of the absolute value function, making it y=x for all x>=0. (as I said before)

Answer 11

yes, none of them have the same exact domains

Answer 12

I thought all the same but wanted 2

Answer 13

the last option specifies "none of the above"

Answer 14

is the answer "none of these" as all are saying domain is not same.

Answer 15

Yeah.

Answer 16

basically