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mathmath333

  • one year ago

functions.

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  1. mathmath333
    • one year ago
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    \(\large \color{black}{\begin{align} &\normalsize \text{which of the following two functions are identical ?}\hspace{.33em}\\~\\ &a.)\ f(x)=\dfrac{x^2}{x} \ \hspace{.33em}\\~\\ &b.)\ g(x)=(\sqrt{x})^2 \hspace{.33em}\\~\\ &c.)\ h(x)=x \hspace{.33em}\\~\\~\\~\\ &i.) \ \normalsize a.) \ \text{and }\ b.)\hspace{.33em}\\~\\ &ii.) \ \normalsize b.) \ \text{and }\ c.)\hspace{.33em}\\~\\ &iii.) \ \normalsize a.) \ \text{and }\ c.)\hspace{.33em}\\~\\ &iv.) \ \normalsize a.),\ b.) \ \text{and }\ c.)\hspace{.33em}\\~\\ &v.) \ \normalsize \text{none of these } \hspace{.33em}\\~\\ \end{align}}\)

  2. SolomonZelman
    • one year ago
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    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

  3. triciaal
    • one year ago
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    I got ii b) and c)

  4. SolomonZelman
    • one year ago
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    none of them are absolutely the same thing, but the closest ones I would say are f and h

  5. Isaiah.Feynman
    • one year ago
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    @Vocaloid for the first one, I think zero is not allowed the domain.

  6. Vocaloid
    • one year ago
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    ^right, I didn't see that before, thank you

  7. Vocaloid
    • one year ago
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    so I would say that none of them are the same

  8. SolomonZelman
    • one year ago
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    you have almost got the absolute value in g, Absolute value definition: |D| = sqrt (D^2)

  9. ParthKohli
    • one year ago
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    None of them have the same domains!

  10. SolomonZelman
    • one year ago
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    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)

  11. SolomonZelman
    • one year ago
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    yes, none of them have the same exact domains

  12. triciaal
    • one year ago
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    I thought all the same but wanted 2

  13. Vocaloid
    • one year ago
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    the last option specifies "none of the above"

  14. mathmath333
    • one year ago
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    is the answer "none of these" as all are saying domain is not same.

  15. ParthKohli
    • one year ago
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    Yeah.

  16. SolomonZelman
    • one year ago
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    |dw:1434999703267:dw|

  17. SolomonZelman
    • one year ago
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    basically

  18. triciaal
    • one year ago
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    |dw:1434999855949:dw|

  19. mathmath333
    • one year ago
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    @SolomonZelman are u saying that f(x)=g(x) and option i) is correct ?

  20. mathmath333
    • one year ago
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    i mean * are u saying that f(x)=h(x) and option i) is correct ?

  21. SolomonZelman
    • one year ago
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    oh it shifted something

  22. mathmath333
    • one year ago
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    i mean option iii.) lol

  23. SolomonZelman
    • one year ago
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    |dw:1435000227558:dw|

  24. SolomonZelman
    • one year ago
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    is that better ?

  25. mathmath333
    • one year ago
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    ok option none of these thnks all

  26. SolomonZelman
    • one year ago
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    yup

  27. SolomonZelman
    • one year ago
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    \(\rm \color{green}{mathmath333=\left(math\right)^23^3=27\left(math\right)^2}\)

  28. SolomonZelman
    • one year ago
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    jk

  29. mathmath333
    • one year ago
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    hahaaaha

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