Question

is this RIGHT..??

Arrange the steps in the correct sequence to find the inverse function of f(x)=3x-15/2

Answer 1

let's find  the inverse of f

let y= f(x)=3x-15/2 ,  so  y+15/2=3x and  x=  1/3 (y+15/2)= y/3 +15/6
it is the same of  x= f^-1(y)=y/3+15/6, so for x=y,  we have f^-1(x)=x/3+15/6
the inverse of f is g, such that  g(x)=x/3+15/6