SOLUTION: Given f(x)= 1/2x+1 and g(x) = √3x-5 Determine (f.g)(x) and its domain. Note:- the square root is on whole 3x-5

Algebra ->  Trigonometry-basics -> SOLUTION: Given f(x)= 1/2x+1 and g(x) = √3x-5 Determine (f.g)(x) and its domain. Note:- the square root is on whole 3x-5      Log On


   

Question 197714: Given f(x)= 1/2x+1 and g(x) = √3x-5
Determine (f.g)(x) and its domain.

Note:- the square root is on whole 3x-5
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given f(x)= (1/2)x+1 and g(x) = √(3x-5)
Determine (f.g)(x) and its domain.
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f[g(x)] = f[sqrt(3x-5)] = (1/2)sqrt(3x+5) + 1
Domain = ?
3x+5 >= 0
x >= -5/3
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Domain of f[g(x)] is all Real Numbers >= -5/3
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Cheers,
Stan H.