SOLUTION: F(x)=3x+7 and g(x)=1-6x A: domain of f,g,f+g,f-g,fg,ff,f/g, and g/f B: (f+g)(x),(f-g)(x),(fg)(x),(ff)(x),(f/g)(x),(g/f)(x)

Algebra ->  College  -> Linear Algebra -> SOLUTION: F(x)=3x+7 and g(x)=1-6x A: domain of f,g,f+g,f-g,fg,ff,f/g, and g/f B: (f+g)(x),(f-g)(x),(fg)(x),(ff)(x),(f/g)(x),(g/f)(x)       Log On


   

Question 1085674: F(x)=3x+7 and g(x)=1-6x
A: domain of f,g,f+g,f-g,fg,ff,f/g, and g/f
B: (f+g)(x),(f-g)(x),(fg)(x),(ff)(x),(f/g)(x),(g/f)(x)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Domain of f: All real numbers
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Domain of g: All real numbers
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f%2Bg=3x%2B7%2B1-6x=8-3x
Domain of f+g: All real numbers
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f-g=3x%2B7-1%2B6x=9x%2B6
Domain of f-g: All real numbers
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fg=%283x%2B7%29%281-6x%29
Domain of fg: All real numbers
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f%2Fg=%283x%2B7%29%2F%281-6x%29
Domain of f/g: All real numbers except,
1-6x=0
6x=1
x=1%2F6
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g%2Ff=%281-6x%29%2F%283x%2B7%29
Domain of g/f: All real numbers except,
3x%2B7=0
3x=-7
x=-7%2F3
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f%28f%29=3%283x%2B7%29%2B7=9x%2B21%2B7=9x%2B28
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g%28g%29=1-6%281-6x%29=1-6%2B36x=36x-5