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Answer:
g^-1(x) = (7x+1)/(6 -4x)
Step-by-step explanation:
Substitute y for x and solve for y.
g(y) = x
(6y -1)/(4y +7) = x
6y -1 = x(4y +7) . . . . multiply by 4y+7
6y -4xy = 7x +1 . . . . add 1-4xy
y(6 -4x) = 7x +1 . . . . factor out y
y = (7x +1)/(6 -4x) . . . divide by the coefficient of x
[tex]\boxed{g^{-1}(x)=\dfrac{7x+1}{6-4x}}[/tex]
