Given f(x) = the quantity of x plus 7, divided by 5, solve for f−1(3)

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Question:

Given f(x) = the quantity of x plus 7, divided by 5, solve for f−1(3)

Answers

f(x) = the quantity of x plus 7, divided by 5[tex]f(x)= \frac{x+7}{5} [/tex] To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps: - Solve for x, i.e separate x in one side and the other terms in the other side, included f(x). - Swap x and f(x). - The result is the inverse of the original function [tex]f^{-1}(x)[/tex]So that:[tex]5*f(x)=x+7\\~\\~\\5f(x)-7=x\\~\\~\\Swap~now\\~\\~\\f^{-1}(x)=5x-7[/tex]and for the value of 3:[tex]f^{-1}(3)=5(3)-7=15-7=8[/tex] I hope that helps!

Answer:The answer to this equation is 8.

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