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OpenStudy (anonymous):
f(x) = (x-5)/(9); g(x) = 8x + 5, find g(f(x))
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OpenStudy (imer):
\[g(f(x))=8[\frac{( x-5) }{ 9 }]+5\] and then just simplify.
OpenStudy (imer):
The concept is that g(x) is a function and so is f(x) but f(x) is an input for g(x) so you just replace "x" with another function which is g(f(x))
OpenStudy (anonymous):
I got 10.625 = x now.
OpenStudy (anonymous):
8((x-5/9))+5
-5/8 = (x-5)/(9)
-5/8 * 9 = x-5
10.625 = x
OpenStudy (anonymous):
That's completely wrong and i Know it.
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OpenStudy (anonymous):
A) g(f(x)) = x - (5/8)
B) g(f(x)) = x
C) g(f(x)) = 8x + 35
D) g(f(x)) = x + 10
OpenStudy (anonymous):
Those are the options.
OpenStudy (imer):
"8((x-5/9))+5 -5/8 = (x-5)/(9) -5/8 * 9 = x-5 10.625 = x" this calculation is wrong.
OpenStudy (anonymous):
What do I have to do?
OpenStudy (imer):
well the answer is not in the options, you sure the question is correct, no typo of sign?
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OpenStudy (anonymous):
OpenStudy (imer):
its (x-5)/8 not 9 :P
OpenStudy (imer):
the answer is "B"
OpenStudy (anonymous):
Oops, haha thank you. No wonder I was having so much difficulty...
OpenStudy (anonymous):
Even I didn't spot that mistake.
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OpenStudy (imer):
\[8[\frac{ (x-5) }{ 8 }]+5 = (x-5)+5=x\]
"8" in numerator and denominator get cancelled.
OpenStudy (anonymous):
Thank you.
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