Answer:
[tex]f ^{-1}(x)=\frac{x+3}{5}[/tex]
Step-by-step explanation:
To find the inverse of a function f (x) follow the steps below:
1) Make y = f (x)
[tex]y= 5x - 3[/tex]
2) Solve for the variable x
[tex]y+3= 5x - 3+3[/tex]
[tex]y+3= 5x[/tex]
[tex]x=\frac{y+3}{5}[/tex]
3) Exchange the variable x with the variable y
[tex]y=\frac{x+3}{5}[/tex]
4) Make [tex]y = f ^{-1}(x)[/tex]
[tex]f ^{-1}(x)=\frac{x+3}{5}[/tex]
Finally, the inverse of the function f (x) is: [tex]f ^{-1}(x)=\frac{x+3}{5}[/tex]
Answer:
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Step-by-step explanation:
