Mathematics
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OpenStudy (itsmichelle29):
Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)?
g(x) − f(x) = 5x − 8 − 3x
g(x) − f(x) = 5x − 12 − 3x
g(x) − f(x) = 3x − 8 − 5x
g(x) − f(x) = 3x + 12 − 5x
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jimthompson5910 (jim_thompson5910):
\[\Large \color{red}{f(x) = 3x+2}\]
\[\Large \color{blue}{g(x) = 5x-10}\]
---------------------------------------------
\[\Large \color{blue}{g(x)}-\color{red}{f(x)}=\color{blue}{(5x-10)}-\color{red}{(3x+2)}\]
I'll let you finish
OpenStudy (itsmichelle29):
What next
OpenStudy (itsmichelle29):
@jim_thompson5910
OpenStudy (itsmichelle29):
i get =2x−12
OpenStudy (itsmichelle29):
and that not the answer
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jimthompson5910 (jim_thompson5910):
look through the choices and see which ones have a "-12" in it
for some reason, they didn't combine the x terms, idk why
OpenStudy (itsmichelle29):
g(x) = 5^x − 10,
jimthompson5910 (jim_thompson5910):
oh these are exponentials?
OpenStudy (itsmichelle29):
5 is to the power of x sorry
jimthompson5910 (jim_thompson5910):
I see now
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OpenStudy (itsmichelle29):
3 is not only 5
jimthompson5910 (jim_thompson5910):
you cannot do \[\Large 5^x - 3^x = 2^x\]
jimthompson5910 (jim_thompson5910):
\[\Large a^x - b^x \ne (a-b)^x\]
OpenStudy (itsmichelle29):
so whats the answer
jimthompson5910 (jim_thompson5910):
you tell me
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OpenStudy (itsmichelle29):
B i think or A
jimthompson5910 (jim_thompson5910):
what's your reasoning on each?
OpenStudy (itsmichelle29):
B for -12 or A for -10+2
jimthompson5910 (jim_thompson5910):
but you have to distribute the negative through
jimthompson5910 (jim_thompson5910):
\[\Large \color{red}{f(x) = 3^x+2}\]
\[\Large \color{blue}{g(x) = 5^x-10}\]
---------------------------------------------
\[\Large \color{blue}{g(x)}-\color{red}{f(x)}=\color{blue}{(5^x-10)}-\color{red}{(3^x+2)}\]
\[\Large g(x) - f(x) = 5^x - 10 - 3^x - 2\]
\[\Large g(x) - f(x) = 5^x - 12 - 3^x\]
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jimthompson5910 (jim_thompson5910):
notice how \(\Large -( 3^x + 2)\) becomes \(\Large - 3^x - 2\)
OpenStudy (itsmichelle29):
Oh okayyyy can u help me with one more
jimthompson5910 (jim_thompson5910):
ok one more
OpenStudy (itsmichelle29):
Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?
f(x) • g(x) = log10 (3x − 1)x
f(x) • g(x) = log10 x3x − 1
f(x) • g(x) = 3x log10 x + log10 x
f(x) • g(x) = log10 x − 3x log10 x
OpenStudy (itsmichelle29):
i think its A
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OpenStudy (itsmichelle29):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
can you post a screenshot of this?
OpenStudy (itsmichelle29):
OpenStudy (itsmichelle29):
yeah
OpenStudy (itsmichelle29):
@jim_thompson5910
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jimthompson5910 (jim_thompson5910):
none of the answer choices are correct. There's one that's close, but it's off by a negative sign
jimthompson5910 (jim_thompson5910):
there has to be a typo somewhere
jimthompson5910 (jim_thompson5910):
oh nvm I see the answer
OpenStudy (itsmichelle29):
pkay thanks anyways
jimthompson5910 (jim_thompson5910):
hint: y*log(x) = log(x^y)
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OpenStudy (itsmichelle29):
if fine i turned the tyest in
OpenStudy (itsmichelle29):
thanks