Question

!!!!!!!!!!!!!!!!!!!!

Answer 1

`f^(-1)(x)=4x+20`

Explanation:

Given

`f(x)=(x)/(4)-5\\ \\y=(x)/(4)-5`

Swap x and y and solve for y

`y=(x)/(4)-5\\ \\x=(y)/(4)-5\\ \\x+5=(y)/(4)\\ \\4(x+5)=y\\\\y=4x+20`

Final answer

`f^(-1)(x)=4x+20`

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.