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Mathematics 20 Online
OpenStudy (anonymous):

please help! composite of functions question!

OpenStudy (anonymous):

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

Please help im having a really hard time with this question!

hartnn (hartnn):

so you want g(f(-4)) lets first find f(-4) to get f(-4) you plug in x= -4 in f(x) what do u get ?

OpenStudy (anonymous):

I understand that (g o f) means g(f(x)) but I don't understand where the -1 comes in

hartnn (hartnn):

plug in x=-4 in f(x) = x^2+7

hartnn (hartnn):

its x^2 +7

OpenStudy (anonymous):

yes so I did -4^2 - 7, is that correct

hartnn (hartnn):

why -7 ?? its x^2 +7 \(\Large x^2+7 = (-4)^2 +7 = .. ?\)

OpenStudy (anonymous):

Woah sorry! misuse of plus and minus, ok so -4^2 + 7 = -9

hartnn (hartnn):

hmm...i see that you need g(f(-1)) and not -4 so, we need to find f(-1) first \(\Large x^2+7 = (-1)^2 +7 = .. ?\)

OpenStudy (anonymous):

ok so that equals to 6

hartnn (hartnn):

remember (-1)*(-1) = +1 because multiplying 2 negatives give you a positive!

OpenStudy (anonymous):

that is the problem im having, the confusion of whether to plug in -1 or -4, by plugging in -1 i got positive 8

hartnn (hartnn):

forget -4 the question asks for g(f(-1))

hartnn (hartnn):

f(-1) = 8 is correct

OpenStudy (anonymous):

I dont get what to do from there...

hartnn (hartnn):

so to find g(f(-1)) we need g(8) makes sense ?

hartnn (hartnn):

because f(-1) is 8

OpenStudy (anonymous):

-4 x 8 = -32

OpenStudy (anonymous):

so -32 will be the answer to the problem?

OpenStudy (anonymous):

no apparently the answer was 1/2..thanks for trying

hartnn (hartnn):

lol why was -4 used again ? we were only half way through... g(8) = (8-4)/8 = 1/2 ...

OpenStudy (anonymous):

ooh, ok thanks for helping, i sort of get it, these composite of functions are killing me

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