Question 84105: this is my problem:
let f(x)=5/x^2 and g(x)=6x=1
now it says to find (f 0 g)(x) and to find the domain of these
my first instinct is to multiply the two equations together and the domain is the x value of the answer, is this the correct procedure?
if it isnt will someone please lay out the steps for solving it for me
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! let f(x)=5/x^2 and g(x)=6x+1
now it says to find (f 0 g)(x) and to find the domain of these
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(fog)(x) means f[g(x)]
= f[6x+1]
= 5/(6x+1)^2
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Domain:
Since 6x+1 is in the denominator and since the denominator
cannot be zero, 6x+1 cannot be 0
So 6x cannot be -1
And finally, x cannot be -1/6
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Domain of (fog)(x) is all Real Numbers except x=-1/6
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Cheers,
Stan H.
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