Question

what is the inverse of 7x-5

Answer 1

What is the definition of an inverse?

Answer 2

\[\frac{ 1 }{ 7x-5 }\]

Answer 3

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 4

x=7y-5
7y=x+5
f^-1(x)=(x+5)/7