Given that f(x) = 3x + 1 and g(x) = 4x+2/3 , solve for g(f(0)).
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6
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9
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OpenStudy (anonymous):
If you plug 0 in for f(x) you get 1 for that equation then you plug 1 into the other equation giving you 4(1)+2/3=4+2/3=6/3=2
OpenStudy (anonymous):
\[g(f(x)) = 4(3x+1)+\frac{ 2 }{ 3 }\]
Now find g(f(0)) by plugging 0 into the equation.
OpenStudy (anonymous):
its answer is 14/3
OpenStudy (anonymous):
g(x) = 4(1)+2/3=4+2/3=12+2/3=14/3
OpenStudy (anonymous):
The best way to solve this function is:
\[g[f(x)]=4*f(x)+\frac{2}{3}\]\[f(x)=3x+1\]\[f(0)=1\]So\[g[f(0)]=g(1)\]\[g(1)=4*1+\frac{2}{3}\]\[\boxed{g(x)=\frac{14}{3}}\]
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OpenStudy (anonymous):
Well it could be divided by the whole thing but she hasn't specified with any parenthesis or anything so we can only assume.
OpenStudy (anonymous):
its 4x+2 over 3
OpenStudy (anonymous):
OMG that's right... I guess
\[g(x)=\frac{4x+2}{3}\]In this case the answer is \[g(1)=\frac{4*1+2}{3}\]\[\boxed{g[f(0)]=2}\]
OpenStudy (anonymous):
They meant the f(x) part
OpenStudy (anonymous):
There we go @D3xt3R :)
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