Determine whether the function has an inverse function fx 5

Determine whether the function has an inverse function. f(x) = 5x + 4 Yes, f does have an inverse. No, f does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) f^minus1(x) =

Solution

A function, f(x), has an inverse function if f(x) is one-to-one

f(x) = 5x +4 is one to one function\'So, Yes f does have an inverse.

Find inverse:

f(x) = y = 5x+4

Plug x= y and y=x

x= 5y +4

5y = x-4

y = (x-4)/5

f^-1(x) = (x - 4)/ 5