The correct answer is:
g(x)=-4/3x+2
Step by step solved:
To find the inverse of the function, we need to swap the x and y variables and solve for y:
x = -4/3y + 2
x - 2 = -4/3y
-3/4(x - 2) = y
Therefore, the inverse of the function g(x) is:
g^-1(x) = -3/4(x - 2)
So, the correct answer is:
g^-1(x) = -3/4x + 3/2