Question

Find the inverse (if it exists) of f(x) = 4x - 5

Answer 1

`f(x)=4x-5\to y=4x-5\ \ \ \ \ |add\ 5\ to\ both\ sides\\\\y+5=4x\ \ \ \ |divide\ both\ sides\ by\ 4\\\\x=(y)/(4)+(5)/(4)\to x=(1)/(4)y+(5)/(4)`


`The\ inverse\ of\ f(x)\ is\ f^(-1)(x)`


`Answer:f^(-1)(x)=(1)/(4)x+(5)/(4)`