Question

Find the inverse function of f x equals 2x / 3 - 17​

Answer 1

`\large\boxed{f^(-1)(x)=(3x+51)/(2)=(3)/(2)x+(51)/(2)}`

Explanation:

`f(x)=(2x)/(3)-17\to y=(2x)/(3)-17\\\\\text{exchange x to y and vice versa:}\\\\x=(2y)/(3)-17\\\\\text{solve fro y:}\\\\(2y)/(3)-17=x\qquad\text{add 17 to both sides}\\\\(2y)/(3)=x+17\qquad\text{multiply both sides by 3}\\\\2y=3x+51\qquad\text{divide both sides by 2}\\\\y=(3x+51)/(2)=(3)/(2)x+(51)/(2)`