The inverse function is given by:
[tex]f^{-1}(x) = \frac{3(x - 5)}{5}[/tex]
Option A.
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The function is:
[tex]f(x) = y = \frac{5x}{3} + 5[/tex]
To find the inverse, we exchange x and y, and isolate y. Thus:
[tex]x = \frac{5y}{3} + 5[/tex]
[tex]\frac{5y}{3} = x - 5[/tex]
[tex]5y = 3(x - 5)[/tex]
[tex]y = \frac{3(x - 5)}{5}[/tex]
[tex]f^{-1}(x) = \frac{3(x - 5)}{5}[/tex]
Option A.
A similar problem is given at https://brainly.com/question/23950969
