Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Find the inverse of the function. g(x)= -5x – 20/7

Sagot :

Answer:[tex]g^{-1}(x)=\frac{-7x-20}{5}[/tex]

Explanation:

Given the function:

[tex]g(x)=\frac{-5x-20}{7}[/tex]

To find the inverse function, let us first write it as:

[tex]y=\frac{-5x-20}{7}[/tex]

Make x the subject of the equation

[tex]\begin{gathered} -5x-20=7y \\ -5x=7y+20 \\ x=\frac{-7y-20}{5} \end{gathered}[/tex]

Replace x by y, and y by x to obtain the inverse function

[tex]y=\frac{-7x-20}{5}[/tex]

Where

[tex]y=g^{-1}(x)[/tex]

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.