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Mathematics 8 Online
OpenStudy (anonymous):

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OpenStudy (anonymous):

am I right? if I am wrong why?

OpenStudy (anonymous):

i'd like to know so I can practise on this more

OpenStudy (xapproachesinfinity):

just plugging the values you have in the table into those equations for x=1 f(1)=4 g(1)=-1 f(1)+g(1)=3

OpenStudy (xapproachesinfinity):

and go on

OpenStudy (xapproachesinfinity):

seems that b and c are off the road since f(x) is and exponential function and g(x) is constant

OpenStudy (anonymous):

ok so A. 4^1 - 1*1 = 3 B. -1(4^1) = -4 C. 4^(1-1) = 1 D. 4^1 - 1 = 3

OpenStudy (xapproachesinfinity):

so i would say you choice is incorrect since g(x) is constant observe that g(x)=-1 for any x so choosing something else in not good

OpenStudy (jdoe0001):

yeah... the only way offhand to do it, is to test the coordinates

OpenStudy (anonymous):

so we have A and D. imma try 2 now and if it equals 15 that's the answer? A. 4^2 - 1*2 = 15 D. 4^2 - 1 = 15 but how do I know which one?

OpenStudy (anonymous):

wait

OpenStudy (anonymous):

first one is 14 not 15 typo

OpenStudy (anonymous):

so it's D?

OpenStudy (xapproachesinfinity):

after doing the coordinates you need to match with what the table tells us because we have the value of f(x)+g(x)

OpenStudy (anonymous):

ah ok so it is D

OpenStudy (anonymous):

i knew it had to be A or D

OpenStudy (xapproachesinfinity):

i believe that A mismatches the criteria we are looking for it got the exponential part but the linear part is off g(x) has to be constant -1 for any x

OpenStudy (anonymous):

understandable

OpenStudy (xapproachesinfinity):

analytically D seems good without going with the coordinates other choices are off the hood B is does not have what we look for and c is just and exponential function

OpenStudy (xapproachesinfinity):

so according to this f(x)=4^x and g(x)=-1

OpenStudy (anonymous):

4^x + -1 = 4^x - 1

OpenStudy (xapproachesinfinity):

if we add then we get h(x)=4^x-1 plugging some values 1 h(1)=3 check with the table 2 h(2)=16-1=15 3 h(3)=64-1 =63

OpenStudy (xapproachesinfinity):

and so on

OpenStudy (xapproachesinfinity):

yes~ of course

OpenStudy (anonymous):

:) thanks!

OpenStudy (xapproachesinfinity):

no problem

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