Help!!! Show work plz

Since,
[tex](fog)(x) = x[/tex]
The functions given are inverses of each other
Further explanation:
When two functions are inverses of each other their composition results in x
That is
[tex](fog)(x) = x[/tex]
Given functions are:
[tex]f(x) = \frac{x+3}{2}\\g(x) = 2x-3[/tex]
Now,
[tex](fog)(x) =\frac{g(x)+3}{2}\\=\frac{(2x-3)+3}{2}\\=\frac{2x-3+3}{2}\\=\frac{2x}{2}\\=x[/tex]
Since,
[tex](fog)(x) = x[/tex]
The functions given are inverses of each other
Keywords: Functions, Inverse of Function
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