If f(x) = (3x-7)/(x+1) and g(x) is the inverse of f(x), determine the value of g(2).

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Anabelle Guzman · Accepted Answer

if g(x) and f(x) are inverse of each otherthan g(2) means that 2 is the y value of f(x)so2 = (3x-7)/(x+1)2(x+1) = 3x-72x+2 = 3x - 7x = 9so g(2) = 9

Hugh Soto · Accepted Answer

y  =  f  (  x  )  =            3      x      −      7              x      +      1      to find the inverse of f(x):y(x+1) = 3x-7xy + y = 3x - 7xy - 3x = -7 - yx(y-3) = -(7+y)  x  =            −      (      7      +      y      )              y      −      3        g  (  x  )  =            −      (      7      +      x      )              x      −      3        g  (  2  )  =            −      7      −      2              2      −      3        =  9

If f(x) = (3x-7)/(x+1) and g(x) is the inverse of f(x), determine the value of g(2).

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