Mathematics
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OpenStudy (smurfy14):
Can you check my answers? File attached (only 9 problems)
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OpenStudy (smurfy14):
OpenStudy (anonymous):
checking now... 37 38 right
OpenStudy (anonymous):
38 39 are right
OpenStudy (anonymous):
first one is wrong
OpenStudy (anonymous):
37 is not right lol
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OpenStudy (anonymous):
41 is wrong
OpenStudy (anonymous):
fail... 3+2 = 5
OpenStudy (anonymous):
^for 37
OpenStudy (anonymous):
the last question is actually very easy
OpenStudy (smurfy14):
ok sorry i multiplied for some reason :P
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OpenStudy (smurfy14):
41?
OpenStudy (anonymous):
answer to 45 is just "3"
OpenStudy (smurfy14):
nvm i know how to do 41 and how did u get 3?
OpenStudy (anonymous):
g(x) = -2f(x-1) + 5 , this given
OpenStudy (anonymous):
now , g(3) , just means go the function and g , and everywhere you see an x , replace it with a 3
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OpenStudy (anonymous):
ie , g(3) = -2 f(3-1) + 5 // by subbing int the above
OpenStudy (anonymous):
g(3) = -2f(2) + 5
OpenStudy (anonymous):
but we were told f(2) = 1
OpenStudy (anonymous):
the answer for 45 is 3
OpenStudy (anonymous):
g(3) = -2 +5 = 3
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OpenStudy (smurfy14):
ok i see thanks! so is everything else besades 41 correct?
OpenStudy (anonymous):
lol I was too slow elecengineer (and I'm assuming that you're in electrical engineering.. which I am too haha)
OpenStudy (anonymous):
no, 37 is wrong
OpenStudy (smurfy14):
well ya besides that?
OpenStudy (anonymous):
37 should be +5
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OpenStudy (smurfy14):
how do you do 42?
OpenStudy (anonymous):
confirmed 44 righttttt
OpenStudy (anonymous):
42 is inverse just switch the y and x around lemme see
OpenStudy (anonymous):
so you have y=x+3 make it so that it is x=y+3
OpenStudy (anonymous):
then you'll have y=x-3 where y=h^(-1)x
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OpenStudy (smurfy14):
so whats the answer?
OpenStudy (anonymous):
x-3
OpenStudy (anonymous):
lol
OpenStudy (smurfy14):
oh ok and is the answer to 41 7x^3+36x^2+54x+28?
OpenStudy (smurfy14):
hello?
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OpenStudy (anonymous):
37. h(2+a) = (2+a)+3
= 5+a
38. correct
39. correct
40. correct\[41.f(x+h)-f(x) = [(x+h)^{3}+1]-(x ^{3}+1)\]\[=x ^{3}+h ^{3}+3x ^{2}h+3xh ^{2}+1-x ^{3}-1\]\[=h ^{3}+3x ^{2}h+3xh ^{2}\]
\[42. h ^{-1}(x)=1/(x+3)\]
\[43. f(x)*g(x) = (x ^{3}+1)(x ^{2}-2)\]\[=x ^{5}-2x ^{3}+x ^{2}-2\]
44. correct
45. g(x) = -2f(x-1)+5
g(3) = -2f(3-1)+5
= -2f(2)+5
= -2*1+5 f(2)=1
= -2+5
= 3