SOLUTION: are the two functions inverses f(x)=-2x+12 and g(x)=-(x/2)+6

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Question 1013979: are the two functions inverses f(x)=-2x+12 and g(x)=-(x/2)+6
Answer by ikleyn(52835) About Me  (Show Source):
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Are the two functions inverses f(x)=-2x+12 and g(x)=-(x/2)+6 ?
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1.  (fog)(x) = %28-2%29%2A%28-%28x%2F2%29%2B6%29+%2B+12 = x - 12 + 12 = x.

2.  (gof)(x) = -%28%28-2x%2B12%29%2F2%29+%2B+6 = x - 6 + 6 = x.

Answer.  Yes,  these two functions are inverse each other.