# math

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what is the inverse of g(x)= 2/3x+4?

• math -

g(x) = (2/3)x + 4
or
y = (2/3)x + 4
inverse :
x = (2/3)y + 4
3x = 2y + 12
2y = 3x - 12
y = (3/2)x - 6

test:
g(6) = (2/3)(6) + 4
= 8
g^-1(8) = (3/2)(8) - 6
= 12-6 = 6

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