Question

G(x)=−43x+2

g^−1(x)=43x−2

g^−1(x)=−43x−2

g^−1(x)=34x+23

g^−1(x)=−34x+32

Answer 1

`g(x)=-(4)/(3)x+2\to y=-(4)/(3)x+2\\\\\text{exchange x and y}\\\\x=-(4)/(3)y+2\\\\\text{solve for y}\\\\-(4)/(3)y+2=x\qquad\text{subtract 2 from both sides}\\\\-(4)/(3)y=x-2\qquad\text{multiply both sides by (-3)}\\\\4y=-3x+6\qquad\text{divide both sides by 4}\\\\y=-(3)/(4)x+(6)/(4)\\\\Answer:\ \boxed{g^(-1)(x)=-(3)/(4)+(3)/(2)}`