Algebra
13 Online
OpenStudy (anonymous):
Let f(x) = x^2 + 6 and g(x) =x+8/x. Find ( g o f)(-7)
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OpenStudy (agent0smith):
find f(-7) first, ie plug in x=-7 into f(x)
then plug that result into g(x)
OpenStudy (anonymous):
f(x)=-7^2+6?
OpenStudy (agent0smith):
Yes. Brackets around -7.
OpenStudy (anonymous):
55?
OpenStudy (agent0smith):
Yes, now plug that into g(x)
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OpenStudy (anonymous):
x would be 55 in g(x) ?
OpenStudy (agent0smith):
Yes
OpenStudy (anonymous):
55+8/55? i got 1.14
OpenStudy (agent0smith):
I have no idea, you need to make sure to use brackets for g(x) =x+8/x because I can't tell what it is like that
OpenStudy (anonymous):
g(x)= (55)+8/(55)? So i would get 63/55?
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OpenStudy (anonymous):
Thats my answer right? :)
OpenStudy (agent0smith):
No, i mean, make it clear what it is. is g(x) =x + 8/x or g(x) =(x+8)/x
OpenStudy (agent0smith):
\[\large g(x) =x+\frac{ 8 }{x} \text { ..... or ..... } g(x) =\frac{x+8 }{x} \]
OpenStudy (anonymous):
second one
OpenStudy (agent0smith):
Then use brackets, g(x) =(x+8)/x,
since the g(x) =x + 8/x means the first one.
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OpenStudy (anonymous):
So 63/55 isnt my answerr?
OpenStudy (anonymous):
lol its one of my choices
OpenStudy (agent0smith):
Plug in 55 into your function, the correct one, and check :P
OpenStudy (anonymous):
g(x)= (55+8)/55 ?
OpenStudy (anonymous):
Its the same thing right?
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OpenStudy (agent0smith):
Yes, simplify it
OpenStudy (anonymous):
But thats my answer like that just like that 63/55 :P Its A:)
OpenStudy (agent0smith):
lol yes, i was just making sure you KNEW it was your answer! :P
OpenStudy (anonymous):
oh haha okay :) thanks :)
OpenStudy (agent0smith):
haha no prob :)