Question

Inverse of f(x)=3x-4

Answer 1

`\large\boxed{f^(-1)(x)=(x+4)/(3)=(1)/(3)x+(4)/(3)}`

Explanation:

`f(x)=3x-4\to y=3x-4\\\\\text{exchange x to y and vice versa}\\\\x=3y-4\\\\\text{solve for y}\\\\3y-4=x\qquad\text{add 4 to both sides}\\\\3y=x+4\qquad\text{divide both sides by 3}\\\\y=(x+4)/(3)`