163k views
4 votes
F(x) =2x-5/4 What is f^-1(-1)?Find the inverse, then plug in -1**

User David Vrba
by
7.6k points

1 Answer

5 votes

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

User WickyNilliams
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories