mathmath333
  • mathmath333
functions.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} &\normalsize \text{which of the following two functions are identical ?}\hspace{.33em}\\~\\ &a.)\ f(x)=\dfrac{x^2}{x} \ \hspace{.33em}\\~\\ &b.)\ g(x)=(\sqrt{x})^2 \hspace{.33em}\\~\\ &c.)\ h(x)=x \hspace{.33em}\\~\\~\\~\\ &i.) \ \normalsize a.) \ \text{and }\ b.)\hspace{.33em}\\~\\ &ii.) \ \normalsize b.) \ \text{and }\ c.)\hspace{.33em}\\~\\ &iii.) \ \normalsize a.) \ \text{and }\ c.)\hspace{.33em}\\~\\ &iv.) \ \normalsize a.),\ b.) \ \text{and }\ c.)\hspace{.33em}\\~\\ &v.) \ \normalsize \text{none of these } \hspace{.33em}\\~\\ \end{align}}\)
SolomonZelman
  • SolomonZelman
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
triciaal
  • triciaal
I got ii b) and c)

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More answers

SolomonZelman
  • SolomonZelman
none of them are absolutely the same thing, but the closest ones I would say are f and h
Isaiah.Feynman
  • Isaiah.Feynman
@Vocaloid for the first one, I think zero is not allowed the domain.
Vocaloid
  • Vocaloid
^right, I didn't see that before, thank you
Vocaloid
  • Vocaloid
so I would say that none of them are the same
SolomonZelman
  • SolomonZelman
you have almost got the absolute value in g, Absolute value definition: |D| = sqrt (D^2)
ParthKohli
  • ParthKohli
None of them have the same domains!
SolomonZelman
  • SolomonZelman
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)
SolomonZelman
  • SolomonZelman
yes, none of them have the same exact domains
triciaal
  • triciaal
I thought all the same but wanted 2
Vocaloid
  • Vocaloid
the last option specifies "none of the above"
mathmath333
  • mathmath333
is the answer "none of these" as all are saying domain is not same.
ParthKohli
  • ParthKohli
Yeah.
SolomonZelman
  • SolomonZelman
|dw:1434999703267:dw|
SolomonZelman
  • SolomonZelman
basically
triciaal
  • triciaal
|dw:1434999855949:dw|
mathmath333
  • mathmath333
@SolomonZelman are u saying that f(x)=g(x) and option i) is correct ?
mathmath333
  • mathmath333
i mean * are u saying that f(x)=h(x) and option i) is correct ?
SolomonZelman
  • SolomonZelman
oh it shifted something
mathmath333
  • mathmath333
i mean option iii.) lol
SolomonZelman
  • SolomonZelman
|dw:1435000227558:dw|
SolomonZelman
  • SolomonZelman
is that better ?
mathmath333
  • mathmath333
ok option none of these thnks all
SolomonZelman
  • SolomonZelman
yup
SolomonZelman
  • SolomonZelman
\(\rm \color{green}{mathmath333=\left(math\right)^23^3=27\left(math\right)^2}\)
SolomonZelman
  • SolomonZelman
jk
mathmath333
  • mathmath333
hahaaaha

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