If f(x) =5x-6 what is the inverse of f(x)

Replace f(x) with y:

y = 5x-6

Swith the variables:

x = 5y -6

Now solve for y:

add 6 to each side:

x +6 = 5y

Divide both sides by 5:

y = (x+6)/5

Now replace y with the inverse function f^-1 (x):

f^-1(x) = (x+6)/5

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are