Question

Which function below is the inverse of f(x)= 7x-1/2

Answer 1

`f(x)=7x-(1)/(2)\to y=7x-(1)/(2)\\\\\text{we change x to y and y to x}\\\\x=7y-(1)/(2)\\\\\text{solve for y}\\\\7y-(1)/(2)=x\ \ \ \ |+(1)/(2)\\\\7y=x+(1)/(2)\ \ \ \ \ |:7\\\\\boxed{y=(1)/(7)x+(1)/(14)}\\\\Answer:\ \boxed{f^(-1)(x)=(1)/(7)x+(1)/(14)}`