Answer:
[tex]y' = 5x + 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]
Required
The inverse relation
[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]
Rewrite as:
[tex]y = \frac{1}{5}x - \frac{4}{5}[/tex]
Swap x and y
[tex]x = \frac{1}{5}y - \frac{4}{5}[/tex]
Multiply through by 5
[tex]5x = y - 4[/tex]
[tex]y = 5x +4[/tex]
Rewrite the new function as:
[tex]y' = 5x + 4[/tex]
