Inverse the following equation-f(x)=-19x+13

Question

The answer Choices are

F-1(x)=19(x-13)

F-1(x)=x+13/19

F-1(x)=-19(x-13)

F-1(x)=13-x/19

Answer 1

find the inverse by switching x and y, (x,y) becomes (y,x)

y = -19x+13 becomes x =-19y+13, now solve for the new y

19y = 13-x

y = (13-x)/19 = f^-1(x)

last choice of the 4 options