Question

F(x) =2x-5/4 What is f^-1(-1)?Find the inverse, then plug in -1**

Answer 1

we have

`\begin{gathered} f(x)=(2x-5)/(4) \\ \text{Let} \\ y=f(x) \\ y=(2x-5)/(4) \\ Exchange\text{ the variables (x for y and y for x)} \\ \\ x=(2y-5)/(4) \\ \text{isolate the variable y} \\ 2y=4x+5 \\ y=(4x+5)/(2) \\ f^((-1))(x)=y \\ \\ f^((-1))(x)=(4x+5)/(2) \\ \text{For x=}-1 \\ f^((-1))(-1)=(4(-1)+5)/(2)=(1)/(2) \\ \end{gathered}`

therefore

the answer is 1/2